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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> 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<option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control 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value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" 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form-control" type="text" name="q" value="in:514610" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span> </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span> </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span> 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class="token item">sw:</span><span> </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span> </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span> </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span> </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. 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A.</a></div> <h3 class="title"> <a href="/1542.35255"><strong>Spectrum of the Laplace-Beltrami operator on antisymmetric functions.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1542.35255">Zbl 1542.35255</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A514610" title="Articles in this Issue">279, No. 4, 563-572 (2024)</a>; translation from Probl. Mat. Anal. 126, 99-106 (2024). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35P05" title="General topics in linear spectral theory for PDEs">35P05</a> <a class="mono" href="/classification/?q=cc%3A58J05" title="Elliptic equations on manifolds, general theory">58J05</a> <a class="mono" href="/classification/?q=cc%3A58J50" title="Spectral problems; spectral geometry; scattering theory on manifolds">58J50</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1542.35255" data-ciurl="/ci/07873225" data-biburl="/bibtex/07873225.bib" data-amsurl="/amsrefs/07873225.bib" data-xmlurl="/xml/07873225.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07873225.pdf" title="Zbl 1542.35255 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-024-07032-0" aria-label="DOI for “Spectrum of the Laplace-Beltrami operator on antisymmetric functions”" title="10.1007/s10958-024-07032-0">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7873224" value="7873224" aria-label="mark item Zbl 1542.35285"></div> <div class="author"><a href="/authors/toleubay.a-m" title="Author Profile">Toleubay, A. M.</a></div> <h3 class="title"> <a href="/1542.35285"><strong>Asymptotic behavior of attractors of the two-dimensional Navier-Stokes system in a domain with small periodic obstacles.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1542.35285">Zbl 1542.35285</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A514610" title="Articles in this Issue">279, No. 4, 550-562 (2024)</a>; translation from Probl. Mat. Anal. 126, 87-97 (2024). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35Q30" title="Navier-Stokes equations">35Q30</a> <a class="mono" href="/classification/?q=cc%3A35B40" title="Asymptotic behavior of solutions to PDEs">35B40</a> <a class="mono" href="/classification/?q=cc%3A35B32" title="Bifurcations in context of PDEs">35B32</a> <a class="mono" href="/classification/?q=cc%3A76D05" title="Navier-Stokes equations for incompressible viscous fluids">76D05</a> <a class="mono" href="/classification/?q=cc%3A35B27" title="Homogenization in context of PDEs; PDEs in media with periodic structure">35B27</a> <a class="mono" href="/classification/?q=cc%3A74F10" title="Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)">74F10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1542.35285" data-ciurl="/ci/07873224" data-biburl="/bibtex/07873224.bib" data-amsurl="/amsrefs/07873224.bib" data-xmlurl="/xml/07873224.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07873224.pdf" title="Zbl 1542.35285 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-024-07031-1" aria-label="DOI for “Asymptotic behavior of attractors of the two-dimensional Navier-Stokes system in a domain with small periodic obstacles”" title="10.1007/s10958-024-07031-1">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7873223" value="7873223" aria-label="mark item Zbl 1542.35030"></div> <div class="author"><a href="/authors/?q=ai%3Apodolskiy.alexander-vadimovich%7Cpodolskii.alexander-v" title="Author Profile">Podolskiy, A. V.</a>; <a href="/authors/shaposhnikova.tatiana-ardolionovna" title="Author Profile">Shaposhnikova, T. A.</a></div> <h3 class="title"> <a href="/1542.35030"><strong>Strange operator in homogenization of the diffusion equation in a domain perforated along of a manifold with dynamic Signorini condition on perforation boundary. Critical case.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1542.35030">Zbl 1542.35030</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A514610" title="Articles in this Issue">279, No. 4, 525-549 (2024)</a>; translation from Probl. Mat. Anal. 126, 65-86 (2024). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35B27" title="Homogenization in context of PDEs; PDEs in media with periodic structure">35B27</a> <a class="mono" href="/classification/?q=cc%3A35J25" title="Boundary value problems for second-order elliptic equations">35J25</a> <a class="mono" href="/classification/?q=cc%3A35R35" title="Free boundary problems for PDEs">35R35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1542.35030" data-ciurl="/ci/07873223" data-biburl="/bibtex/07873223.bib" data-amsurl="/amsrefs/07873223.bib" data-xmlurl="/xml/07873223.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07873223.pdf" title="Zbl 1542.35030 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-024-07030-2" aria-label="DOI for “Strange operator in homogenization of the diffusion equation in a domain perforated along of a manifold with dynamic Signorini condition on perforation boundary. Critical case”" title="10.1007/s10958-024-07030-2">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7873222" value="7873222" aria-label="mark item Zbl 07873222"></div> <div class="author"><a href="/authors/pereskokov.a-v" title="Author Profile">Pereskokov, A. V.</a></div> <h3 class="title"> <a href="/7873222"><strong>Asymptotics of the spectrum of a Hartree type operator with self-consistent potential including the Macdonald function.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/7873222">Zbl 07873222</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A514610" title="Articles in this Issue">279, No. 4, 508-524 (2024)</a>; translation from Probl. Mat. Anal. 126, 51-64 (2024). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A81Qxx" title="General mathematical topics and methods in quantum theory">81Qxx</a> <a class="mono" href="/classification/?q=cc%3A35Pxx" title="Spectral theory and eigenvalue problems for partial differential equations">35Pxx</a> <a class="mono" href="/classification/?q=cc%3A35Jxx" title="Elliptic equations and elliptic systems">35Jxx</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07873222" data-ciurl="/ci/07873222" data-biburl="/bibtex/07873222.bib" data-amsurl="/amsrefs/07873222.bib" data-xmlurl="/xml/07873222.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07873222.pdf" title="Zbl 07873222 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-024-07029-9" aria-label="DOI for “Asymptotics of the spectrum of a Hartree type operator with self-consistent potential including the Macdonald function”" title="10.1007/s10958-024-07029-9">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7873221" value="7873221" aria-label="mark item Zbl 1542.74052"></div> <div class="author"><a href="/authors/osmolovskij.v-g" title="Author Profile">Osmolovskii, V. G.</a></div> <h3 class="title"> <a href="/1542.74052"><strong>Splitting method for the variational phase transition problem in two-phase continuum media.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1542.74052">Zbl 1542.74052</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A514610" title="Articles in this Issue">279, No. 4, 493-507 (2024)</a>; translation from Probl. Mat. Anal. 126, 39-50 (2024). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A74N20" title="Dynamics of phase boundaries in solids">74N20</a> <a class="mono" href="/classification/?q=cc%3A74H80" title="Energy minimization in dynamical problems in solid mechanics">74H80</a> <a class="mono" href="/classification/?q=cc%3A74H30" title="Regularity of solutions of dynamical problems in solid mechanics">74H30</a> <a class="mono" href="/classification/?q=cc%3A35Q74" title="PDEs in connection with mechanics of deformable solids">35Q74</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1542.74052" data-ciurl="/ci/07873221" data-biburl="/bibtex/07873221.bib" data-amsurl="/amsrefs/07873221.bib" data-xmlurl="/xml/07873221.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07873221.pdf" title="Zbl 1542.74052 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-024-07028-w" aria-label="DOI for “Splitting method for the variational phase transition problem in two-phase continuum media”" title="10.1007/s10958-024-07028-w">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7873220" value="7873220" aria-label="mark item Zbl 1548.46022"></div> <div class="author"><a href="/authors/lutsenko.anastasiya-vladimirovna" title="Author Profile">Lutsenko, A. V.</a>; <a href="/authors/musin.ildar-khamitovich" title="Author Profile">Musin, I. Kh.</a>; <a href="/authors/yulmukhametov.rinad-salavatovich" title="Author Profile">Yulmukhametov, R. S.</a></div> <h3 class="title"> <a href="/1548.46022"><strong>Description of the duals of subspaces of infinitely differentiable functions.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1548.46022">Zbl 1548.46022</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A514610" title="Articles in this Issue">279, No. 4, 478-492 (2024)</a>; translation from Probl. Mat. Anal. 126, 27-38 (2024). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A21151">Aydın Aytuna (İstanbul)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A46E10" title="Topological linear spaces of continuous, differentiable or analytic functions">46E10</a> <a class="mono" href="/classification/?q=cc%3A46F05" title="Topological linear spaces of test functions, distributions and ultradistributions">46F05</a> <a class="mono" href="/classification/?q=cc%3A46A20" title="Duality theory for topological vector spaces">46A20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1548.46022" data-ciurl="/ci/07873220" data-biburl="/bibtex/07873220.bib" data-amsurl="/amsrefs/07873220.bib" data-xmlurl="/xml/07873220.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07873220.pdf" title="Zbl 1548.46022 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-024-07027-x" aria-label="DOI for “Description of the duals of subspaces of infinitely differentiable functions”" title="10.1007/s10958-024-07027-x">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7873219" value="7873219" aria-label="mark item Zbl 1542.35263"></div> <div class="author"><a href="/authors/kuznetsov.nikolay-germanovich" title="Author Profile">Kuznetsov, N.</a></div> <h3 class="title"> <a href="/1542.35263"><strong>Sloshing in containers with vertical walls: isoperimetric inequalities for the fundamental eigenvalue.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1542.35263">Zbl 1542.35263</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A514610" title="Articles in this Issue">279, No. 4, 472-477 (2024)</a>; translation from Probl. Mat. Anal. 126, 21-25 (2024). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35P15" title="Estimates of eigenvalues in context of PDEs">35P15</a> <a class="mono" href="/classification/?q=cc%3A35Q35" title="PDEs in connection with fluid mechanics">35Q35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1542.35263" data-ciurl="/ci/07873219" data-biburl="/bibtex/07873219.bib" data-amsurl="/amsrefs/07873219.bib" data-xmlurl="/xml/07873219.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07873219.pdf" title="Zbl 1542.35263 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-024-07026-y" aria-label="DOI for “Sloshing in containers with vertical walls: isoperimetric inequalities for the fundamental eigenvalue”" title="10.1007/s10958-024-07026-y">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2310.13684"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7873218" value="7873218" aria-label="mark item Zbl 07873218"></div> <div class="author"><a href="/authors/krylov.nicolai-v" title="Author Profile">Krylov, N. V.</a></div> <h3 class="title"> <a href="/7873218"><strong>On a new proof of the key step in the proof of Brouwer’s fixed point theorem.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/7873218">Zbl 07873218</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A514610" title="Articles in this Issue">279, No. 4, 468-471 (2024)</a>; translation from Probl. Mat. Anal. 126, 17-20 (2024). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A26Bxx" title="Functions of several variables">26Bxx</a> <a class="mono" href="/classification/?q=cc%3A35-XX" title="Partial differential equations">35-XX</a> <a class="mono" href="/classification/?q=cc%3A47-XX" title="Operator theory">47-XX</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07873218" data-ciurl="/ci/07873218" data-biburl="/bibtex/07873218.bib" data-amsurl="/amsrefs/07873218.bib" data-xmlurl="/xml/07873218.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07873218.pdf" title="Zbl 07873218 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-024-07025-z" aria-label="DOI for “On a new proof of the key step in the proof of Brouwer's fixed point theorem”" title="10.1007/s10958-024-07025-z">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7873217" value="7873217" aria-label="mark item Zbl 1544.18016"></div> <div class="author"><a href="/authors/kopylov.yaroslav-anatolevich" title="Author Profile">Kopylov, Ya. A.</a>; <a href="/authors/leshkov.vadim-eduardovich" title="Author Profile">Leshkov, V.È.</a></div> <h3 class="title"> <a href="/1544.18016"><strong>The Lambek invariants of commutative squares in a homological category.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1544.18016">Zbl 1544.18016</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A514610" title="Articles in this Issue">279, No. 4, 455-467 (2024)</a>; translation from Probl. Mat. Anal. 126, 5-15 (2024). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A16050">Sven-Ake Wegner (Hamburg)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A18G50" title="Nonabelian homological algebra (category-theoretic aspects)">18G50</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1544.18016" data-ciurl="/ci/07873217" data-biburl="/bibtex/07873217.bib" data-amsurl="/amsrefs/07873217.bib" data-xmlurl="/xml/07873217.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07873217.pdf" title="Zbl 1544.18016 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-024-07024-0" aria-label="DOI for “The Lambek invariants of commutative squares in a homological category”" title="10.1007/s10958-024-07024-0">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2311.18691"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div></section> <section class="content-filter"><h2 class="filters-caption">Filter Results by …</h2> <div class="filter filter-ai"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Author</h3> <ul><li> <a href="/?q=in%3A514610+ai%3Akopylov.yaroslav-anatolevich">Kopylov, Yaroslav Anatol’evich</a> (1) </li><li> <a href="/?q=in%3A514610+ai%3Akrylov.nicolai-v">Krylov, Nicolaĭ Vladimirovich</a> (1) </li><li> <a href="/?q=in%3A514610+ai%3Akuznetsov.nikolay-germanovich">Kuznetsov, Nikolai Germanovich</a> (1) </li><li> <a href="/?q=in%3A514610+ai%3Aleshkov.vadim-eduardovich">Leshkov, Vadim Èduardovich</a> (1) </li><li> <a href="/?q=in%3A514610+ai%3Alutsenko.anastasiya-vladimirovna">Lutsenko, Anastasiya Vladimirovna</a> (1) </li><li class="more"> <a href="/?q=in%3A514610+ai%3Amusin.ildar-khamitovich">Musin, Il’dar Khamitovich</a> (1) </li><li class="more"> <a href="/?q=in%3A514610+ai%3Aosmolovskij.v-g">Osmolovskij, V. G.</a> (1) </li><li class="more"> <a href="/?q=in%3A514610+ai%3Apereskokov.a-v">Pereskokov, A. V.</a> (1) </li><li class="more"> <a href="/?q=in%3A514610+ai%3Ashaposhnikova.tatiana-ardolionovna">Shaposhnikova, Tatiana Ardolionovna</a> (1) </li><li class="more"> <a href="/?q=in%3A514610+ai%3Ashcherbakov.i-a">Shcherbakov, I. A.</a> (1) </li><li class="more"> <a href="/?q=in%3A514610+ai%3Atoleubay.a-m">Toleubay, A. M.</a> (1) </li><li class="more"> <a href="/?q=in%3A514610+ai%3Ayulmukhametov.rinad-salavatovich">Yulmukhametov, Rinad Salavatovich</a> (1) </li></ul> </div> <div class="filter filter-cc"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 3 <i class="caret"></i></a><h3 class="filter-caption">Main Field</h3> <ul><li> <a class="" href="/?q=in%3A514610+cc%3A35" title="Partial differential equations">35-XX </a> (7) </li><li> <a class="" href="/?q=in%3A514610+cc%3A74" title="Mechanics of deformable solids">74-XX </a> (2) </li><li> <a class="" href="/?q=in%3A514610+cc%3A18" title="Category theory; homological algebra">18-XX </a> (1) </li><li class="more"> <a class="" href="/?q=in%3A514610+cc%3A26" title="Real functions">26-XX </a> (1) </li><li class="more"> <a class="" href="/?q=in%3A514610+cc%3A46" title="Functional analysis">46-XX </a> (1) </li><li class="more"> <a class="" href="/?q=in%3A514610+cc%3A47" title="Operator theory">47-XX </a> (1) </li><li class="more"> <a class="" href="/?q=in%3A514610+cc%3A58" title="Global analysis, analysis on manifolds">58-XX </a> (1) </li><li class="more"> <a class="" href="/?q=in%3A514610+cc%3A76" title="Fluid mechanics">76-XX </a> (1) </li><li class="more"> <a class="" href="/?q=in%3A514610+cc%3A81" title="Quantum theory">81-XX </a> (1) </li></ul> </div> </section> <div class="content-clear"></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>