Document Zbl 1481.35206

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S.</a>; <a href="/authors/moussa.hicham" title="Author Profile">Moussa, H.</a></div> <h2 class="title"> <strong>Existence of a solution to a nonlocal Schrödinger system problem in fractional modular spaces.</strong> <i>(English)</i> <a class="label nowrap" href="/1481.35206">Zbl 1481.35206</a> </h2> <div class="source"> <a href="/serials/8887" title="Journal Profile">Adv. Oper. Theory</a> <a href="/?q=in%3A473877" title="Articles in this Issue">7, No. 1, Paper No. 6, 30 p. (2022)</a>. </div> <div class="abstract">Summary: This paper aims to show the existence of a result to a weak solution to the quasi-linear Schrödinger system driven by the fractional $m(.)$-Laplacian operator has given later. The proof of the main result is constructed by utilizing the Mountain Pass Theorem.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7450831">Cited in <strong>16</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A35J62" title="MSC2020">35J62</a> </td> <td class="space"> Quasilinear elliptic equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35R11" title="MSC2020">35R11</a> </td> <td class="space"> Fractional partial differential equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35A01" title="MSC2020">35A01</a> </td> <td class="space"> Existence problems for PDEs: global existence, local existence, non-existence </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35J50" title="MSC2020">35J50</a> </td> <td class="space"> Variational methods for elliptic systems </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Afractional+%5C%28m%28%5Ccdot%29%5C%29-Laplacian">fractional $m(\cdot)$-Laplacian</a>; <a href="/?q=ut%3ASchr%C3%B6dinger+system">Schrödinger system</a>; <a href="/?q=ut%3Aexistence">existence</a>; <a href="/?q=ut%3Avariational+methods">variational methods</a></div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1481.35206" data-ciurl="/ci/07450831" data-biburl="/bibtex/07450831.bib" data-amsurl="/amsrefs/07450831.bib" data-xmlurl="/xml/07450831.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07450831.pdf" title="Zbl 1481.35206 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/s43036-021-00166-x" aria-label="DOI for “Existence of a solution to a nonlocal Schrödinger system problem in fractional modular spaces”" title="10.1007/s43036-021-00166-x">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Adams, RA; Fournier, JF, Sobolev Spaces, Second Edition, Pure and Applied Mathematics (2003), Amsterdam: Elsevier/Academic Press, Amsterdam · <a href="/1098.46001" class="nowrap">Zbl 1098.46001</a></td> </tr><tr> <td>[2]</td> <td class="space">Alberico, A.; Cianchi, A.; Pick, L.; Slavíková, L., Fractional Orlicz-Sobolev embeddings, J. 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