STANDING WAVE CONCENTRATING ON COMPACT MANIFOLDS FOR NONLINEAR SCHRODINGER EQUATIONS

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dc.contributor.authorByeon, Jaeyoungko
dc.contributor.authorKwon, Ohsangko
dc.contributor.authorOshita, Yoshihitoko
dc.date.accessioned2015-07-29T01:44:17Z-
dc.date.available2015-07-29T01:44:17Z-
dc.date.created2015-06-29-
dc.date.created2015-06-29-
dc.date.issued2015-05-
dc.identifier.citationCOMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.14, no.3, pp.825 - 842-
dc.identifier.issn1534-0392-
dc.identifier.urihttp://hdl.handle.net/10203/200246-
dc.description.abstractFor 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.languageEnglish-
dc.publisherAMER INST MATHEMATICAL SCIENCES-
dc.subjectPERTURBED NEUMANN PROBLEM-
dc.subjectPOSITIVE BOUND-STATES-
dc.subjectMULTI-BUMP SOLUTIONS-
dc.subjectCRITICAL FREQUENCY-
dc.subjectSEMICLASSICAL STATES-
dc.subjectELLIPTIC-EQUATIONS-
dc.subjectRADIAL SOLUTIONS-
dc.subjectEXISTENCE-
dc.subjectPOTENTIALS-
dc.subjectSYMMETRY-
dc.titleSTANDING WAVE CONCENTRATING ON COMPACT MANIFOLDS FOR NONLINEAR SCHRODINGER EQUATIONS-
dc.typeArticle-
dc.identifier.wosid000357467700005-
dc.identifier.scopusid2-s2.0-84923972774-
dc.type.rimsART-
dc.citation.volume14-
dc.citation.issue3-
dc.citation.beginningpage825-
dc.citation.endingpage842-
dc.citation.publicationnameCOMMUNICATIONS ON PURE AND APPLIED ANALYSIS-
dc.identifier.doi10.3934/cpaa.2015.14.825-
dc.contributor.localauthorByeon, Jaeyoung-
dc.contributor.nonIdAuthorKwon, Ohsang-
dc.contributor.nonIdAuthorOshita, Yoshihito-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorConcentration phenomena-
dc.subject.keywordAuthorinfinite dimensional reduction-
dc.subject.keywordAuthornondegeneracy-
dc.subject.keywordAuthornonlinear Schrdinger equation-
dc.subject.keywordPlusPERTURBED NEUMANN PROBLEM-
dc.subject.keywordPlusPOSITIVE BOUND-STATES-
dc.subject.keywordPlusMULTI-BUMP SOLUTIONS-
dc.subject.keywordPlusCRITICAL FREQUENCY-
dc.subject.keywordPlusSEMICLASSICAL STATES-
dc.subject.keywordPlusELLIPTIC-EQUATIONS-
dc.subject.keywordPlusRADIAL SOLUTIONS-
dc.subject.keywordPlusEXISTENCE-
dc.subject.keywordPlusPOTENTIALS-
dc.subject.keywordPlusSYMMETRY-
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