Infinitely many solutions for the stationary fractional p-Kirchhoff problems in RN

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dc.contributor.authorAkkoyunlu, Ebubekir
dc.contributor.authorAyazoglu, Rabil
dc.date.accessioned2024-10-04T18:51:07Z
dc.date.available2024-10-04T18:51:07Z
dc.date.issued2019
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn the present paper, we investigate the existence of multiple solutions for the nonhomogeneous fractional p-Kirchhoff equation M(integral integral R2N vertical bar u(x) - u(y)vertical bar(p)/vertical bar x - y vertical bar(N+ps)dxdy + integral V-RN(x)vertical bar u vertical bar p dx) x((-Delta)(p)(s) u + V(x) vertical bar u vertical bar(p-2) u) = f (x, u) in R-N, where (-Delta)(p)(s) is the fractional p-Laplacian operator, 0 < s < 1 < p < infinity with sp < N, M : R-0(+) -> R-0(+) is a nonnegative, continuous and increasing Kirchhoff function, the nonlinearity f : R-N x R -> R is a Caratheodory function that obeys some conditions which will be stated later and V is an element of C(R-N, R+) is a non-negative potential function. We first establish the Bartsch-Pankov-Wang type compact embedding theorem for the fractional Sobolev spaces. Then multiplicity results are obtained by using the variational method, (S+) mapping theory and Krasnoselskii's genus theory.en_US
dc.identifier.doi10.1007/s12044-019-0515-7
dc.identifier.issn0253-4142
dc.identifier.issn0973-7685
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85069704014en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1007/s12044-019-0515-7
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3395
dc.identifier.volume129en_US
dc.identifier.wosWOS:000477624700004en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Indiaen_US
dc.relation.ispartofProceedings of the Indian Academy of Sciences-Mathematical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectKirchhoff equationen_US
dc.subjectfractional p-Laplacianen_US
dc.subjectvariational methodsen_US
dc.subjectKrasnoselskii's genusen_US
dc.subjectinfinitely many solutionsen_US
dc.titleInfinitely many solutions for the stationary fractional p-Kirchhoff problems in RNen_US
dc.typeArticleen_US

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