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

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dc.authorid0000-0002-5636-1214
dc.authorscopusid56263218000
dc.authorscopusid6506217572
dc.authorscopusid6507285451
dc.authorwosidEkincioglu, Ismail/E-6402-2015
dc.authorwosidG, Alisoy/ABA-7258-2020
dc.contributor.authorAyazoğlu (Mashiyev), Rabil
dc.contributor.authorEkincioğlu, İsmail
dc.contributor.authorAlisoy, Gülizar
dc.date.accessioned2022-05-11T14:31:20Z
dc.date.available2022-05-11T14:31:20Z
dc.date.issued2017
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, we deal with the following p(x) - Schrodinger problem: { (-div (vertical bar del u vertical bar(p(x)-2)del u) + V(x) vertical bar u vertical bar(p(x)-2) u = f (x, u) in R-N; u is an element of W-1,W-p(x) (R-N), 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.identifier.doi10.14232/ejqtde.2017.1.75
dc.identifier.endpage16
dc.identifier.issn1417-3875
dc.identifier.issue75en_US
dc.identifier.scopus2-s2.0-85034248466
dc.identifier.scopusqualityQ3
dc.identifier.startpage1
dc.identifier.urihttps://doi.org/10.14232/ejqtde.2017.1.75
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7414
dc.identifier.wosWOS:000415654200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAlisoy, Gülizar
dc.language.isoen
dc.publisherUniv Szeged, Bolyai Institute
dc.relation.ispartofElectronic Journal of Qualitative Theory of Differential Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectp(x)-Laplace operator
dc.subjectSchrodinger equation
dc.subjectvariable exponent Lebesgue-Sobolev spaces
dc.subjectKrasnoselskii's genus
dc.subjectP(X)-Laplacian Equations
dc.subjectExistence
dc.subjectSpaces
dc.titleMultiple small solutions for p(x)-Schrodinger equations with local sublinear nonlinearities via genus theory
dc.typeArticle

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