<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-30T01:54:14Z</responseDate><request verb="GetRecord" identifier="oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/12179" metadataPrefix="oai_dc">https://bayburt-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/12179</identifier><datestamp>2026-10-29T19:42:16Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_bayburt_10000</setSpec><setSpec>col_bayburt_10001</setSpec><setSpec>com_bayburt_10007</setSpec><setSpec>col_bayburt_10218</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>Existence and multiplicity of solutions for a Schrödinger–Kirchhoff type equation involving the fractional p(. ,.) -Laplacian operator in RN</dc:title><dc:creator>Ayazoglu, Rabil</dc:creator><dc:creator>Saraç, Yeşim</dc:creator><dc:creator>Şener, S. Şule</dc:creator><dc:creator>Alisoy, Gülizar</dc:creator><dc:subject>Fractional p(.,.)-Laplacian operator</dc:subject><dc:subject>Fractional Sobolev space with variable exponent</dc:subject><dc:subject>Krasnoselskii’s genus</dc:subject><dc:subject>Mountain pass theorem</dc:subject><dc:subject>Schrödinger–Kirchhoff type equations</dc:subject><dc:description>In this paper, by using variational approach, Mountain Pass Theorem and Krasnoselskii’s genus theory, we show the existence and multiplicity of solutions for a Schrödinger–Kirchhoff type equation involving the fractional p(. ,.) -Laplacian in fractional Sobolev space with variable exponent. We also establish a Bartsch–Wang type compact embedding theorem for fractional Sobolev space with variable exponent.</dc:description><dc:publisher>Springer-Verlag Italia s.r.l.</dc:publisher><dc:date>2021</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/bayburt/12179</dc:identifier><dc:identifier>https://doi.org/10.1007/s13348-020-00283-5</dc:identifier><dc:identifier>0010-0757</dc:identifier><dc:language>en</dc:language><dc:relation>Collectanea Mathematica</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/12179</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>