Existence and multiplicity of weak solutions for eigenvalue Robin problem with weighted p(.)-Laplacian

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dc.authoridUNAL, CIHAN/0000-0002-7242-393X
dc.contributor.authorAydin, Ismail
dc.contributor.authorUnal, Cihan
dc.date.accessioned2025-03-23T19:43:57Z
dc.date.available2025-03-23T19:43:57Z
dc.date.issued2023
dc.departmentSinop Üniversitesi
dc.description.abstractBy applying Mountain Pass Lemma, Ekeland's variational principle and Fountain Theorem, we prove the existence and multiplicity of solutions for the following Robin problem {-div(a(x) vertical bar del u vertical bar(p(x)-2) del u) =lambda b(x)vertical bar u vertical bar(q(x)-2) u, x is an element of Omega a(x) vertical bar del u vertical bar(p(x)-2) partial derivative u/partial derivative u + beta(x)vertical bar u vertical bar(p(x)-2) u = 0, x is an element of partial derivative Omega, under some appropriate conditions in the space W-a,b(1, p(.)) (Omega).
dc.identifier.doi10.1007/s11587-021-00621-0
dc.identifier.endpage528
dc.identifier.issn0035-5038
dc.identifier.issn1827-3491
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85111278226
dc.identifier.scopusqualityQ1
dc.identifier.startpage511
dc.identifier.urihttps://doi.org/10.1007/s11587-021-00621-0
dc.identifier.urihttps://hdl.handle.net/11486/6827
dc.identifier.volume72
dc.identifier.wosWOS:000679002900002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer-Verlag Italia Srl
dc.relation.ispartofRicerche Di Matematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectWeak solution
dc.subjectp(.)-Laplacian
dc.subjectMountain Pass Lemma
dc.subjectFountain Theorem
dc.subjectEkeland variational principle
dc.titleExistence and multiplicity of weak solutions for eigenvalue Robin problem with weighted p(.)-Laplacian
dc.typeArticle

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