On Some Properties of Relative Capacity and Thinness in Weighted Variable Exponent Sobolev Spaces

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dc.authoridUNAL, CIHAN/0000-0002-7242-393X
dc.contributor.authorUnal, C.
dc.contributor.authorAydin, I.
dc.date.accessioned2025-03-23T19:44:31Z
dc.date.available2025-03-23T19:44:31Z
dc.date.issued2020
dc.departmentSinop Üniversitesi
dc.description.abstractWe define the weighted relative p(.)-capacity and discuss its properties in the space W 1,p(.). (Rn). Also, we investigate some properties of the weighted variable Sobolev capacity. It is shown that there is a relation between these two capacities. Moreover, we introduce the notion of thinness related to this newly defined relative capacity and prove an equivalence statement for this thinness.
dc.identifier.doi10.1007/s10476-020-0014-1
dc.identifier.endpage167
dc.identifier.issn0133-3852
dc.identifier.issn1588-273X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85079698107
dc.identifier.scopusqualityQ3
dc.identifier.startpage147
dc.identifier.urihttps://doi.org/10.1007/s10476-020-0014-1
dc.identifier.urihttps://hdl.handle.net/11486/6958
dc.identifier.volume46
dc.identifier.wosWOS:000513344000012
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer International Publishing Ag
dc.relation.ispartofAnalysis Mathematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectweighted variable exponent Sobolev space
dc.subjectrelative capacity
dc.subjectSobolev capacity
dc.subjectthinness
dc.titleOn Some Properties of Relative Capacity and Thinness in Weighted Variable Exponent Sobolev Spaces
dc.typeArticle

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