<?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>2026-10-29T22:40:55Z</responseDate><request verb="GetRecord" identifier="oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/12526" metadataPrefix="oai_dc">https://bayburt-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/12526</identifier><datestamp>2026-10-29T19:42:31Z</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>Multiple small solutions for p(x)-Schrödinger equations with local sublinear nonlinearities via genus theory</dc:title><dc:creator>Ayazoglu Mashiyev, Rabil</dc:creator><dc:creator>Ekincioglu, Ismail</dc:creator><dc:creator>Alisoy, Gulizar</dc:creator><dc:subject>Krasnoselskii’s genus</dc:subject><dc:subject>P(x)-laplace operator</dc:subject><dc:subject>Schrödinger equation</dc:subject><dc:subject>Variable exponent lebesgue-sobolev spaces</dc:subject><dc:description>In this paper, we deal with the following p(x)-Schrödinger problem: (Formula Presented) where the nonlinearity is sublinear. We present the existence of infinitely many solutions for the problem. The main tool used here is a variational method and Krasnoselskii’s genus theory combined with the theory of variable exponent Sobolev spaces. We also establish a Bartsch-Wang type compact embedding theorem for the variable exponent spaces.</dc:description><dc:publisher>University of Szeged</dc:publisher><dc:date>2017</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/bayburt/12526</dc:identifier><dc:identifier>https://doi.org/10.14232/ejqtde.2017.1.75</dc:identifier><dc:identifier>1417-3875</dc:identifier><dc:language>en</dc:language><dc:relation>Electronic Journal of Qualitative Theory of Differential Equations</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/12526</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>