Solutions of an anisotropic nonlocal problem involving variable exponent

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dc.contributor.authorAvci, Mustafa
dc.contributor.authorAyazoglu (Mashiyev), Rabil A.
dc.contributor.authorCekic, Bilal
dc.date.accessioned2024-04-24T17:18:00Z
dc.date.available2024-04-24T17:18:00Z
dc.date.issued2013
dc.departmentDicle Üniversitesien_US
dc.description.abstractThe present paper deals with an anisotropic Kirchhoff problem under homogeneous Dirichlet boundary conditions, set in a bounded smooth domain Omega of R-N (N >= 3). The problem studied is a stationary version of the original Kirchhoff equation, involving the anisotropic (p) over right arrow( . )-Laplacian operator, in the framework of the variable exponent Lebesgue and Sobolev spaces. The question of the existence of weak solutions is treated. Applying the Mountain Pass Theorem of Ambrosetti and Rabinowitz, the existence of a nontrivial weak solution is obtained in the anisotropic variable exponent Sobolev space W-0(1,(p) over right arrow(.))(Omega), provided that the positive parameter lambda that multiplies the nonlinearity f is small enough.en_US
dc.identifier.doi10.1515/anona-2013-0010
dc.identifier.endpage338en_US
dc.identifier.issn2191-9496
dc.identifier.issn2191-950X
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84939642325
dc.identifier.scopusqualityQ1
dc.identifier.startpage325en_US
dc.identifier.urihttps://doi.org/10.1515/anona-2013-0010
dc.identifier.urihttps://hdl.handle.net/11468/18522
dc.identifier.volume2en_US
dc.identifier.wosWOS:000344198800004
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofAdvances in Nonlinear Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnisotropic P(.)-Laplacianen_US
dc.subjectNonlocal Problemen_US
dc.subjectAnisotropic Variable Exponent Lebesgue-Sobolev Spacesen_US
dc.subjectMountain Pass Theoremen_US
dc.titleSolutions of an anisotropic nonlocal problem involving variable exponenten_US
dc.titleSolutions of an anisotropic nonlocal problem involving variable exponent
dc.typeArticleen_US

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