DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byeon, Jaeyoung | ko |
dc.contributor.author | Takahashi, Futoshi | ko |
dc.date.accessioned | 2019-11-11T06:20:04Z | - |
dc.date.available | 2019-11-11T06:20:04Z | - |
dc.date.created | 2019-11-11 | - |
dc.date.issued | 2019-12 | - |
dc.identifier.citation | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, v.21, no.8 | - |
dc.identifier.issn | 0219-1997 | - |
dc.identifier.uri | http://hdl.handle.net/10203/268318 | - |
dc.description.abstract | In 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.language | English | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.title | Hardy's inequality in a limiting case on general bounded domains | - |
dc.type | Article | - |
dc.identifier.wosid | 000492043000008 | - |
dc.identifier.scopusid | 2-s2.0-85057730729 | - |
dc.type.rims | ART | - |
dc.citation.volume | 21 | - |
dc.citation.issue | 8 | - |
dc.citation.publicationname | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | - |
dc.identifier.doi | 10.1142/S0219199718500700 | - |
dc.contributor.localauthor | Byeon, Jaeyoung | - |
dc.contributor.nonIdAuthor | Takahashi, Futoshi | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Hardy&apos | - |
dc.subject.keywordAuthor | s inequality in a limiting case | - |
dc.subject.keywordAuthor | best constants | - |
dc.subject.keywordPlus | CONSTANT | - |
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