Hardy's inequality in a limiting case on general bounded domains

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dc.contributor.authorByeon, Jaeyoungko
dc.contributor.authorTakahashi, Futoshiko
dc.date.accessioned2019-11-11T06:20:04Z-
dc.date.available2019-11-11T06:20:04Z-
dc.date.created2019-11-11-
dc.date.issued2019-12-
dc.identifier.citationCOMMUNICATIONS IN CONTEMPORARY MATHEMATICS, v.21, no.8-
dc.identifier.issn0219-1997-
dc.identifier.urihttp://hdl.handle.net/10203/268318-
dc.description.abstractIn this paper, we study Hardy's inequality in a limiting case: integral(Omega) vertical bar del u vertical bar(N) dx >= C-N(Omega) integral(Omega) vertical bar u(x)vertical bar(N)/vertical bar x vertical bar(N)(log R/vertical bar x vertical bar)(N) dx for functions u is an element of W-0(1,N) (Omega), where Omega is a bounded domain in RN with R = sup(x is an element of Omega)vertical bar x vertical bar. We study the attainability of the best constant C-N(Omega) in several cases. We provide sufficient conditions that assure C-N(Omega) > CN(B-R) and CN(Omega) is attained, here B-R is the N-dimensional ball with center the origin and radius R. Also, we provide an example of Omega subset of R-2 such that C-2(Omega) > C-2(B-R) = 1/4 and C-2(Omega) is not attained.-
dc.languageEnglish-
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD-
dc.titleHardy's inequality in a limiting case on general bounded domains-
dc.typeArticle-
dc.identifier.wosid000492043000008-
dc.identifier.scopusid2-s2.0-85057730729-
dc.type.rimsART-
dc.citation.volume21-
dc.citation.issue8-
dc.citation.publicationnameCOMMUNICATIONS IN CONTEMPORARY MATHEMATICS-
dc.identifier.doi10.1142/S0219199718500700-
dc.contributor.localauthorByeon, Jaeyoung-
dc.contributor.nonIdAuthorTakahashi, Futoshi-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorHardy&apos-
dc.subject.keywordAuthors inequality in a limiting case-
dc.subject.keywordAuthorbest constants-
dc.subject.keywordPlusCONSTANT-
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MA-Journal Papers(저널논문)
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