Multiple small solutions for p(x)-Schrödinger equations with local sublinear nonlinearities via genus theory

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dc.authorid56460304700
dc.authorid6506217572
dc.authorid6507285451
dc.contributor.authorAyazoglu Mashiyev R.
dc.contributor.authorEkincioglu I.
dc.contributor.authorAlisoy G.
dc.date.accessioned20.04.201910:49:12
dc.date.accessioned2019-04-20T21:43:27Z
dc.date.available20.04.201910:49:12
dc.date.available2019-04-20T21:43:27Z
dc.date.issued2017
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn 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. © 2017, University of Szeged. All rights reserved.en_US
dc.identifier.doi10.14232/ejqtde.2017.1.75
dc.identifier.issn1417-3875
dc.identifier.scopus2-s2.0-85034248466en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://dx.doi.org/10.14232/ejqtde.2017.1.75
dc.identifier.urihttps://hdl.handle.net/20.500.12403/564
dc.identifier.volume2017
dc.identifier.wosWOS:000415654200001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniversity of Szeged
dc.relation.ispartofElectronic Journal of Qualitative Theory of Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectKrasnoselskii’s genus
dc.subjectP(x)-laplace operator
dc.subjectSchrödinger equation
dc.subjectVariable exponent lebesgue-sobolev spaces
dc.subjectKrasnoselskii’s genus
dc.subjectP(x)-laplace operator
dc.subjectSchrödinger equation
dc.subjectVariable exponent lebesgue-sobolev spaces
dc.titleMultiple small solutions for p(x)-Schrödinger equations with local sublinear nonlinearities via genus theoryen_US
dc.typeArticleen_US

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