Solutions of an anisotropic nonlocal problem involving variable exponent

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dc.authorid25621332700
dc.authorid56263218000
dc.authorid16400661800
dc.contributor.authorAvci M.
dc.contributor.authorAyazoglu R.A.
dc.contributor.authorCekic B.
dc.date.accessioned20.04.201910:49:12
dc.date.accessioned2019-04-20T21:44:25Z
dc.date.available20.04.201910:49:12
dc.date.available2019-04-20T21:44:25Z
dc.date.issued2013
dc.departmentBayburt Üniversitesien_US
dc.description.abstractThe present paper deals with an anisotropic Kirchhoff problem under homogeneous Dirichlet boundary conditions, set in a bounded smooth domain ? of ?N (N ? 3). The problem studied is a stationary version of the original Kirchhoff equation, involving the anisotropic p?(.)-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 W0 1p?(.) (?), provided that the positive parameter ? that multiplies the nonlinearity f is small enough. © de Gruyter 2013.en_US
dc.identifier.doi10.1515/anona-2013-0010
dc.identifier.endpage338
dc.identifier.issn2191-9496
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84939642325en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage325
dc.identifier.urihttps://dx.doi.org/10.1515/anona-2013-0010
dc.identifier.urihttps://hdl.handle.net/20.500.12403/853
dc.identifier.volume2
dc.identifier.wosWOS:000344198800004en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter de Gruyter GmbH
dc.relation.ispartofAdvances in Nonlinear Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAnisotropic p (·)-Laplacian
dc.subjectAnisotropic variable exponent Lebesgue-Sobolev spaces
dc.subjectMountain Pass Theorem
dc.subjectNonlocal problem
dc.subjectAnisotropic p (·)-Laplacian
dc.subjectAnisotropic variable exponent Lebesgue-Sobolev spaces
dc.subjectMountain Pass Theorem
dc.subjectNonlocal problem
dc.titleSolutions of an anisotropic nonlocal problem involving variable exponenten_US
dc.typeArticleen_US

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