Compact embeddings of weighted variable exponent Sobolev spaces and existence of solutions for weighted p(•)-Laplacian

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dc.authoridUNAL, CIHAN/0000-0002-7242-393X
dc.contributor.authorUnal, Cihan
dc.contributor.authorAydin, Ismail
dc.date.accessioned2025-03-23T19:34:41Z
dc.date.available2025-03-23T19:34:41Z
dc.date.issued2021
dc.departmentSinop Üniversitesi
dc.description.abstractIn this study, we define double weighted variable exponent Sobolev spaces W-1,W-q(.),W-p(.) (Omega, theta(0),theta) with respect to two different weight functions. Also, we investigate the basic properties of this spaces. Moreover, we discuss the existence of weak solutions for weighted Dirichlet problem of p(center dot)-Laplacian equation -div(theta(x) vertical bar del f vertical bar p(x)(-2)del f) = theta(0)(x) vertical bar f vertical bar(q(x)-2) f x is an element of Omega f = 0 x is an element of partial derivative Omega under some conditions of compact embedding involving the double weighted variable exponent Sobolev spaces.
dc.identifier.doi10.1080/17476933.2020.1781831
dc.identifier.endpage1773
dc.identifier.issn1747-6933
dc.identifier.issn1747-6941
dc.identifier.issue10
dc.identifier.scopus2-s2.0-85087510561
dc.identifier.scopusqualityQ2
dc.identifier.startpage1755
dc.identifier.urihttps://doi.org/10.1080/17476933.2020.1781831
dc.identifier.urihttps://hdl.handle.net/11486/5710
dc.identifier.volume66
dc.identifier.wosWOS:000549544300001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofComplex Variables and Elliptic Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectWeak solution
dc.subjectcompact embedding
dc.subjectp (center dot)-Laplacian
dc.subjectweighted variable exponent Sobolev spaces
dc.titleCompact embeddings of weighted variable exponent Sobolev spaces and existence of solutions for weighted p(•)-Laplacian
dc.typeArticle

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