<?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>2026-10-30T01:51:28Z</responseDate><request verb="GetRecord" identifier="oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/12457" metadataPrefix="oai_dc">https://bayburt-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/12457</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>Existence of solutions for an elliptic equation with nonstandard growth</dc:title><dc:creator>Avci, M.</dc:creator><dc:creator>Mashiyev, R. Ayazoglu</dc:creator><dc:creator>Cekic, B.</dc:creator><dc:subject>Ekeland variational principle</dc:subject><dc:subject>Mountain pass theorem</dc:subject><dc:subject>P(x)-Laplace operator</dc:subject><dc:subject>Variable exponent Sobolev spaces</dc:subject><dc:subject>Variational method</dc:subject><dc:description>This paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions.</dc:description><dc:date>2013</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/bayburt/12457</dc:identifier><dc:identifier>https://doi.org/10.12732/ijpam.v86i1.10</dc:identifier><dc:identifier>1314-3395</dc:identifier><dc:language>en</dc:language><dc:relation>International Journal of Pure and Applied Mathematics</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/12457</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>