DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bae, Soohyun | ko |
dc.contributor.author | Byeon, Jaeyoung | ko |
dc.date.accessioned | 2013-03-12T13:42:41Z | - |
dc.date.available | 2013-03-12T13:42:41Z | - |
dc.date.created | 2013-02-20 | - |
dc.date.created | 2013-02-20 | - |
dc.date.created | 2013-02-20 | - |
dc.date.issued | 2013-03 | - |
dc.identifier.citation | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.12, no.2, pp.831 - 850 | - |
dc.identifier.issn | 1534-0392 | - |
dc.identifier.uri | http://hdl.handle.net/10203/102493 | - |
dc.description.abstract | We consider the singularly perturbed nonlinear elliptic problem epsilon(2)Delta v - V(x)v + f(v) = 0, v > 0, lim(vertical bar x vertical bar ->infinity) v(x) = 0. Under almost optimal conditions for the potential V and the nonlinearity f, we establish the existence of single-peak solutions whose peak points converge to local minimum points of V as epsilon -> 0. Moreover, we exhibit a threshold on the condition of V at infinity between existence and nonexistence of solutions. | - |
dc.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.title | STANDING WAVES OF NONLINEAR SCHRODINGER EQUATIONS WITH OPTIMAL CONDITIONS FOR POTENTIAL AND NONLINEARITY | - |
dc.type | Article | - |
dc.identifier.wosid | 000310646500014 | - |
dc.identifier.scopusid | 2-s2.0-84873303748 | - |
dc.type.rims | ART | - |
dc.citation.volume | 12 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 831 | - |
dc.citation.endingpage | 850 | - |
dc.citation.publicationname | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | - |
dc.identifier.doi | 10.3934/cpaa.2013.12.831 | - |
dc.contributor.localauthor | Byeon, Jaeyoung | - |
dc.contributor.nonIdAuthor | Bae, Soohyun | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Nonlinear Schrodinger equations | - |
dc.subject.keywordAuthor | standing waves | - |
dc.subject.keywordAuthor | variational method | - |
dc.subject.keywordAuthor | decaying potential | - |
dc.subject.keywordAuthor | optimal conditions | - |
dc.subject.keywordPlus | BOUND-STATES | - |
dc.subject.keywordPlus | SEMICLASSICAL STATES | - |
dc.subject.keywordPlus | CRITICAL FREQUENCY | - |
dc.subject.keywordPlus | GENERAL NONLINEARITY | - |
dc.subject.keywordPlus | ELLIPTIC PROBLEMS | - |
dc.subject.keywordPlus | FIELD-EQUATIONS | - |
dc.subject.keywordPlus | R-N | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | INFINITY | - |
dc.subject.keywordPlus | DOMAINS | - |
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