Existence of multiple solutions of Schrodinger-Kirchhoff-type equations involving the p(.) -Laplacian in RN

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dc.contributor.authorAyazoglu (Mashiyev), Rabil
dc.contributor.authorAkbulut, Sezgin
dc.contributor.authorAkkoyunlu, Ebubekir
dc.date.accessioned2024-10-04T18:50:59Z
dc.date.available2024-10-04T18:50:59Z
dc.date.issued2020
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn this paper, we prove the existence of multiple solutions for the nonhomogeneous Schrodinger-Kirchhoff-type problem involving the p(.)-Laplacian {-(1+b integral(N)(R)1/p(x)vertical bar del u vertical bar(p(x)) dx) Delta(p(x))u+V(x)vertical bar u vertical bar p((x)-2) u=f(x,u) + g(x) in R-N, u is an element of W-1,W-p(.)(R-N), where b >= 0 is a constant, N >= 2, Delta(p)(.)u := div(vertical bar del u vertical bar p((.)-2)del u) is the p(.)-Laplacian operator, p : R-N -> R is Lipschitz continuous, V : R-N -> R is a coercive type potential, integral : R-N x R -> R and g : R-N -> R functions verifying suitable conditions. We propose different assumptions on the nonlinear term f : R-N x R -> R to yield bounded Palais-Smale sequences and then prove that the special sequences we found converge to critical points, respectively. The solutions are obtained by the Mountain Pass Theorem, Ekeland variational principle, and Krasnoselskii genus theory.en_US
dc.identifier.doi10.1002/mma.6626
dc.identifier.endpage9614en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue17en_US
dc.identifier.scopus2-s2.0-85088400859en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage9598en_US
dc.identifier.urihttps://doi.org/10.1002/mma.6626
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3299
dc.identifier.volume43en_US
dc.identifier.wosWOS:000551337300001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEkeland variational principleen_US
dc.subjectKrasnoselskii genus theoryen_US
dc.subjectLebesgue and Sobolev space with variable exponenten_US
dc.subjectMountain Pass Theoremen_US
dc.subjectp(.)-Laplacianen_US
dc.subjectSchrodinger-Kirchhoff-type equationen_US
dc.titleExistence of multiple solutions of Schrodinger-Kirchhoff-type equations involving the p(.) -Laplacian in RNen_US
dc.typeArticleen_US

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