There are no files associated with this item.
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 145 | - |
dc.citation.startPage | 126 | - |
dc.citation.title | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | - |
dc.citation.volume | 87 | - |
dc.contributor.author | Jeong, Wonjeong | - |
dc.contributor.author | Lee, Youngae | - |
dc.date.accessioned | 2023-12-22T03:38:38Z | - |
dc.date.available | 2023-12-22T03:38:38Z | - |
dc.date.created | 2021-07-27 | - |
dc.date.issued | 2013-08 | - |
dc.description.abstract | We are concerned with Liouville-type results of stable solutions and finite Morse index solutions for the following nonlinear elliptic equation with Hardy potential: Delta mu + mu/vertical bar x vertical bar(2)u + vertical bar x vertical bar(l)vertical bar u vertical bar(p-1)u = 0 in Omega, where Omega = R-N,N-R\{0} for N >= 3, p > 1, l > -2 and mu < (N - 2)(2)/4. Our results depend crucially on a new critical exponent p = p(c)(l, mu) and the parameter mu. in the Hardy term. We prove that there exist no nontrivial stable solution and finite Morse index solution for 1 < p < p(c)(l, mu). We also observe a range of the exponent p larger than p(c)(l, mu) satisfying that our equation admits a positive radial stable solution. (C) 2013 Elsevier Ltd. All rights reserved. | - |
dc.identifier.bibliographicCitation | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.87, pp.126 - 145 | - |
dc.identifier.doi | 10.1016/j.na.2013.04.007 | - |
dc.identifier.issn | 0362-546X | - |
dc.identifier.scopusid | 2-s2.0-84884906194 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/53475 | - |
dc.identifier.wosid | 000320685300010 | - |
dc.language | 영어 | - |
dc.publisher | Pergamon Press Ltd. | - |
dc.title | Stable solutions and finite Morse index solutions of nonlinear elliptic equations with Hardy potential | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied; Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Stable solutions | - |
dc.subject.keywordAuthor | Finite Morse index solutions | - |
dc.subject.keywordAuthor | Hardy potential | - |
dc.subject.keywordPlus | LIOUVILLE THEOREMS | - |
dc.subject.keywordPlus | RADIAL SOLUTIONS | - |
dc.subject.keywordPlus | LOCAL BEHAVIOR | - |
dc.subject.keywordPlus | DELTA-U | - |
dc.subject.keywordPlus | R-N | - |
dc.subject.keywordPlus | CLASSIFICATION | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | DOMAINS | - |
dc.subject.keywordPlus | E(U) | - |
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Tel : 052-217-1404 / Email : scholarworks@unist.ac.kr
Copyright (c) 2023 by UNIST LIBRARY. All rights reserved.
ScholarWorks@UNIST was established as an OAK Project for the National Library of Korea.