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Infinitely many solutions for a class of stationary Schrödinger equations with non-standard growth

MakaleYalnız künyeScopus SJRQ2

Özet

In this paper, we study the existence of infinitely many solutions for a class of stationary Schrödinger type equations in ℝN involving the p(x)-Laplacian. The non-linearity is superlinear but does not satisfy the Ambrosetti-Rabinowitz type condition. The main arguments are based on the geometry supplied by Fountain Theorem. We also establish a Bartsch type compact embedding theorem for variable exponent spaces.

Anahtar Kelimeler

p(x)-Laplace operatorSchrödinger type equationVariable exponent Lebesgue–Sobolev spacesvariant Fountain theorem
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorAyazoglu (Mashiyev), R.
dc.contributor.authorAlisoy, Gulizar
dc.date.accessioned2026-10-29T19:11:24.050781543Z
dc.date.available2026-10-29T19:11:24.050781543Z
dc.date.issued2018
dc.description.abstractIn this paper, we study the existence of infinitely many solutions for a class of stationary Schrödinger type equations in ℝN involving the p(x)-Laplacian. The non-linearity is superlinear but does not satisfy the Ambrosetti-Rabinowitz type condition. The main arguments are based on the geometry supplied by Fountain Theorem. We also establish a Bartsch type compact embedding theorem for variable exponent spaces.
dc.identifier.doi10.1080/17476933.2017.1322074
dc.identifier.eissn1747-6941
dc.identifier.endpage500
dc.identifier.issn1747-6933
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85021095448
dc.identifier.startpage482
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/13744
dc.identifier.volume63
dc.identifier.wosWOS:000423716700003
dc.language.isoen
dc.publisherTaylor and Francis Ltd.
dc.relation.ispartofComplex Variables and Elliptic Equations
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectp(x)-Laplace operator
dc.subjectSchrödinger type equation
dc.subjectVariable exponent Lebesgue–Sobolev spaces
dc.subjectvariant Fountain theorem
dc.subject.classificationMathematics
dc.subject.otherP(X)-LAPLACIAN EQUATIONS
dc.subject.otherVARIABLE EXPONENT
dc.subject.otherEXISTENCE
dc.subject.otherSPACES
dc.subject.otherMULTIPLICITY
dc.subject.otherTHEOREMS
dc.subject.otherLEBESGUE
dc.titleInfinitely many solutions for a class of stationary Schrödinger equations with non-standard growth
dc.typeArticle
rdl.citation.openalex2
rdl.citation.scopus2
rdl.citation.wos1
rdl.oa.statusclosed
rdl.scopus.quartileQ2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)