DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byeon, Jaeyoung | ko |
dc.contributor.author | Tanaka, Kazunaga | ko |
dc.date.accessioned | 2019-04-15T15:51:03Z | - |
dc.date.available | 2019-04-15T15:51:03Z | - |
dc.date.created | 2013-07-24 | - |
dc.date.created | 2013-07-24 | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, v.15, no.5, pp.1859 - 1899 | - |
dc.identifier.issn | 1435-9855 | - |
dc.identifier.uri | http://hdl.handle.net/10203/255309 | - |
dc.description.abstract | We consider a singularly perturbed elliptic equation epsilon(2)Delta u - V(x)u + f(u) = 0, u(x) > 0 on R-N, lim(vertical bar x vertical bar ->infinity) u(x) = 0, where V(x) > 0 for any x is an element of R-N. The singularly perturbed problem has corresponding limiting problems Delta U - cU + f(U) = 0, U(x) > 0 on R-N, lim(vertical bar x vertical bar ->infinity) u(x) = 0, c > 0. Berestycki-Lions [3] found almost necessary and sufficient conditions on the nonlinearity f for existence of a solution of the limiting problem. There have been endeavors to construct solutions of the singularly perturbed problem concentrating around structurally stable critical points of the potential V under possibly general conditions on f. In this paper, we prove that under the optimal conditions of Berestycki-Lions on f is an element of C-1, there exists a solution concentrating around topologically stable positive critical points of V, whose critical values are characterized by minimax methods. | - |
dc.language | English | - |
dc.publisher | EUROPEAN MATHEMATICAL SOC | - |
dc.title | Semi-classical standing waves for nonlinear Schrodinger equations at structurally stable critical points of the potential | - |
dc.type | Article | - |
dc.identifier.wosid | 000322507200010 | - |
dc.identifier.scopusid | 2-s2.0-84880880300 | - |
dc.type.rims | ART | - |
dc.citation.volume | 15 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 1859 | - |
dc.citation.endingpage | 1899 | - |
dc.citation.publicationname | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.4171/JEMS/407 | - |
dc.contributor.localauthor | Byeon, Jaeyoung | - |
dc.contributor.nonIdAuthor | Tanaka, Kazunaga | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | SCALAR FIELD-EQUATIONS | - |
dc.subject.keywordPlus | GENERAL NONLINEARITY | - |
dc.subject.keywordPlus | BOUND-STATES | - |
dc.subject.keywordPlus | ELLIPTIC-EQUATIONS | - |
dc.subject.keywordPlus | POSITIVE SOLUTIONS | - |
dc.subject.keywordPlus | R-N | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | MANIFOLDS | - |
dc.subject.keywordPlus | PRINCIPLE | - |
dc.subject.keywordPlus | SYMMETRY | - |
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