Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional p(. ,.) -Laplacian operator in RN

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dc.authorscopusid56263218000
dc.authorscopusid37261985200
dc.authorscopusid37262122200
dc.authorscopusid6507285451
dc.contributor.authorAyazoğlu, R.
dc.contributor.authorSaraç, Y.
dc.contributor.authorŞener, S.Ş.
dc.contributor.authorAlisoy, Gülizar
dc.date.accessioned2022-05-11T14:04:42Z
dc.date.available2022-05-11T14:04:42Z
dc.date.issued2021
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, by using variational approach, Mountain Pass Theorem and Krasnoselskii’s genus theory, we show the existence and multiplicity of solutions for a Schrödinger–Kirchhoff type equation involving the fractional p(. ,.) -Laplacian in fractional Sobolev space with variable exponent. We also establish a Bartsch–Wang type compact embedding theorem for fractional Sobolev space with variable exponent. © 2020, Universitat de Barcelona.
dc.identifier.doi10.1007/s13348-020-00283-5
dc.identifier.endpage156
dc.identifier.issn0010-0757
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85080862949
dc.identifier.scopusqualityQ1
dc.identifier.startpage129
dc.identifier.urihttps://doi.org/10.1007/s13348-020-00283-5
dc.identifier.urihttps://hdl.handle.net/20.500.11776/4726
dc.identifier.volume72
dc.identifier.wosWOS:000516936700001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAlisoy, Gülizar
dc.language.isoen
dc.publisherSpringer-Verlag Italia s.r.l.
dc.relation.ispartofCollectanea Mathematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFractional p(.,.)-Laplacian operator
dc.subjectFractional Sobolev space with variable exponent
dc.subjectKrasnoselskii’s genus
dc.subjectMountain pass theorem
dc.subjectSchrödinger–Kirchhoff type equations
dc.titleExistence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional p(. ,.) -Laplacian operator in RN
dc.typeArticle

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