DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byeon, J | - |
dc.contributor.author | Park, J | - |
dc.date.accessioned | 2016-04-01T09:08:57Z | - |
dc.date.available | 2016-04-01T09:08:57Z | - |
dc.date.created | 2009-08-10 | - |
dc.date.issued | 2005-12 | - |
dc.identifier.issn | 0944-2669 | - |
dc.identifier.other | 2005-OAK-0000010746 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/29543 | - |
dc.description.abstract | Let M be a connected compact smooth Riemannian manifold of dimension n >= 3 with or without smooth boundary aM. We consider the following singularly perturbed nonlinear elliptic problem on M epsilon(2)Delta(M)u - u + f(u) = 0, u > 0 on M, au/av = 0 on a M where Am is the Laplace-Beltrami operator on M, v is an exterior normal to aM and a nonlinearity f of subcritical growth. For certain f, there exists a mountain pass solution it, of above problem which exhibits a spike layer. We are interested in the asymptotic behaviour of the spike layer. Without any non-degeneracy condition and monotonicity of f (t)/t, we show that if aM = theta(aM not equal theta), the peak point x(epsilon) of the solution it, converges to a maximum point of the scalar curvature S on M(the mean curvature H on aM) as epsilon -> 0, respectively. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.relation.isPartOf | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | - |
dc.subject | LEAST-ENERGY SOLUTIONS | - |
dc.subject | SEMILINEAR NEUMANN PROBLEM | - |
dc.subject | POSITIVE SOLUTIONS | - |
dc.subject | EQUATIONS | - |
dc.subject | EXISTENCE | - |
dc.subject | SYSTEM | - |
dc.title | Singularly perturbed nonlinear elliptic problems on manifolds | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1007/S00526-005-0 | - |
dc.author.google | Byeon, J | - |
dc.author.google | Park, J | - |
dc.relation.volume | 24 | - |
dc.relation.issue | 4 | - |
dc.relation.startpage | 459 | - |
dc.relation.lastpage | 477 | - |
dc.contributor.id | 10057452 | - |
dc.relation.journal | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v.24, no.4, pp.459 - 477 | - |
dc.identifier.wosid | 000233565600004 | - |
dc.date.tcdate | 2019-02-01 | - |
dc.citation.endPage | 477 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 459 | - |
dc.citation.title | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | - |
dc.citation.volume | 24 | - |
dc.contributor.affiliatedAuthor | Byeon, J | - |
dc.identifier.scopusid | 2-s2.0-29344433214 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 29 | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | LEAST-ENERGY SOLUTIONS | - |
dc.subject.keywordPlus | SEMILINEAR NEUMANN PROBLEM | - |
dc.subject.keywordPlus | POSITIVE SOLUTIONS | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | SYSTEM | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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