DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byeon, Jaeyoung | ko |
dc.contributor.author | Kim, Seunghyeok | ko |
dc.contributor.author | Pistoia, Angela | ko |
dc.date.accessioned | 2019-04-15T14:51:02Z | - |
dc.date.available | 2019-04-15T14:51:02Z | - |
dc.date.created | 2013-11-05 | - |
dc.date.issued | 2013-11 | - |
dc.identifier.citation | JOURNAL OF FUNCTIONAL ANALYSIS, v.265, no.9, pp.1955 - 1980 | - |
dc.identifier.issn | 0022-1236 | - |
dc.identifier.uri | http://hdl.handle.net/10203/254437 | - |
dc.description.abstract | We consider the nonlinear elliptic problem -Delta u = u(p) in Omega(R), u > 0 in Omega(R), u = 0 in Omega(R) where p > 1 and Omega(R) = {x is an element of R-N: R < vertical bar x vertical bar < R + 1} with N >= 3. It is known that as R -> infinity, the number of nonequivalent solutions of the above problem goes to infinity when p is an element of (N + 2)/(N - 2)), N >= 3. Here we prove the same phenomenon for any p > 1 by finding O (N - 1)-symmetric clustering bump solutions which concentrate near the set {(x(1), ... , x(N)) is an element of Omega(R): x(N) = 0} for large R > 0. (C) 2013 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Existence of clustering high dimensional bump solutions of superlinear elliptic problems on expanding annuli | - |
dc.type | Article | - |
dc.identifier.wosid | 000323093000007 | - |
dc.identifier.scopusid | 2-s2.0-84881371811 | - |
dc.type.rims | ART | - |
dc.citation.volume | 265 | - |
dc.citation.issue | 9 | - |
dc.citation.beginningpage | 1955 | - |
dc.citation.endingpage | 1980 | - |
dc.citation.publicationname | JOURNAL OF FUNCTIONAL ANALYSIS | - |
dc.identifier.doi | 10.1016/j.jfa.2013.07.008 | - |
dc.contributor.localauthor | Byeon, Jaeyoung | - |
dc.contributor.nonIdAuthor | Kim, Seunghyeok | - |
dc.contributor.nonIdAuthor | Pistoia, Angela | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Concentration phenomena | - |
dc.subject.keywordAuthor | Expanding annuli | - |
dc.subject.keywordAuthor | Supercritical problem | - |
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