DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byeon, Jaeyoung | ko |
dc.contributor.author | Kwon, Ohsang | ko |
dc.contributor.author | Oshita, Yoshihito | ko |
dc.date.accessioned | 2015-07-29T01:44:17Z | - |
dc.date.available | 2015-07-29T01:44:17Z | - |
dc.date.created | 2015-06-29 | - |
dc.date.created | 2015-06-29 | - |
dc.date.issued | 2015-05 | - |
dc.identifier.citation | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.14, no.3, pp.825 - 842 | - |
dc.identifier.issn | 1534-0392 | - |
dc.identifier.uri | http://hdl.handle.net/10203/200246 | - |
dc.description.abstract | For k = 1, ... , K, let M-k be a q(k)-dimensional smooth compact framed manifold in R-N with q(k) epsilon {1, ... , N - 1}. We consider the equation -epsilon(2) Delta u + V(x)u - u(p) = 0 in R-N where for each k epsilon {1, ... , K} and some m(k) > 0; V (x) = |dist(x, M-k)|(mk) + O(|dist(x, M-k)|(mk+1)) as dist( x, M-k) -> 0. For a sequence of epsilon converging to zero, we will find a positive solution u(epsilon) of the equation which concentrates on M-1 boolean OR ... boolean OR M-K. | - |
dc.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.subject | PERTURBED NEUMANN PROBLEM | - |
dc.subject | POSITIVE BOUND-STATES | - |
dc.subject | MULTI-BUMP SOLUTIONS | - |
dc.subject | CRITICAL FREQUENCY | - |
dc.subject | SEMICLASSICAL STATES | - |
dc.subject | ELLIPTIC-EQUATIONS | - |
dc.subject | RADIAL SOLUTIONS | - |
dc.subject | EXISTENCE | - |
dc.subject | POTENTIALS | - |
dc.subject | SYMMETRY | - |
dc.title | STANDING WAVE CONCENTRATING ON COMPACT MANIFOLDS FOR NONLINEAR SCHRODINGER EQUATIONS | - |
dc.type | Article | - |
dc.identifier.wosid | 000357467700005 | - |
dc.identifier.scopusid | 2-s2.0-84923972774 | - |
dc.type.rims | ART | - |
dc.citation.volume | 14 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 825 | - |
dc.citation.endingpage | 842 | - |
dc.citation.publicationname | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | - |
dc.identifier.doi | 10.3934/cpaa.2015.14.825 | - |
dc.contributor.localauthor | Byeon, Jaeyoung | - |
dc.contributor.nonIdAuthor | Kwon, Ohsang | - |
dc.contributor.nonIdAuthor | Oshita, Yoshihito | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Concentration phenomena | - |
dc.subject.keywordAuthor | infinite dimensional reduction | - |
dc.subject.keywordAuthor | nondegeneracy | - |
dc.subject.keywordAuthor | nonlinear Schrdinger equation | - |
dc.subject.keywordPlus | PERTURBED NEUMANN PROBLEM | - |
dc.subject.keywordPlus | POSITIVE BOUND-STATES | - |
dc.subject.keywordPlus | MULTI-BUMP SOLUTIONS | - |
dc.subject.keywordPlus | CRITICAL FREQUENCY | - |
dc.subject.keywordPlus | SEMICLASSICAL STATES | - |
dc.subject.keywordPlus | ELLIPTIC-EQUATIONS | - |
dc.subject.keywordPlus | RADIAL SOLUTIONS | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | POTENTIALS | - |
dc.subject.keywordPlus | SYMMETRY | - |
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