DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byeon, Jaeyoung | ko |
dc.date.accessioned | 2013-03-12T19:52:29Z | - |
dc.date.available | 2013-03-12T19:52:29Z | - |
dc.date.created | 2013-02-20 | - |
dc.date.created | 2013-02-20 | - |
dc.date.created | 2013-02-20 | - |
dc.date.issued | 2010-04 | - |
dc.identifier.citation | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.362, no.4, pp.1981 - 2001 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/10203/103342 | - |
dc.description.abstract | Let Omega be a bounded domain in R(n), n >= 3, with a boundary partial derivative Omega is an element of C(2). We consider the following singularly perturbed nonlinear elliptic problem oil Omega: epsilon(2)Delta u - u + f(u) = 0, u > 0 on Omega, n = 0 on partial derivative Omega, where the nonlinearity f is of subcritical growth. Under rather strong conditions on f, it has been known that for small epsilon > 0, there exists a mountain pass solution u(epsilon) of above problem which exhibits a spike layer near a maximum point of the distance function d from partial derivative Omega as epsilon -> 0. In this paper, we construct a solution u(epsilon) of above problem which exhibits a spike layer near a maximum point of the distance function under certain conditions on f, which we believe to be almost optimal. | - |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.title | SINGULARLY PERTURBED NONLINEAR DIRICHLET PROBLEMS WITH A GENERAL NONLINEARITY | - |
dc.type | Article | - |
dc.identifier.wosid | 000275819200012 | - |
dc.identifier.scopusid | 2-s2.0-77950887105 | - |
dc.type.rims | ART | - |
dc.citation.volume | 362 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 1981 | - |
dc.citation.endingpage | 2001 | - |
dc.citation.publicationname | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.contributor.localauthor | Byeon, Jaeyoung | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | SCALAR FIELD-EQUATIONS | - |
dc.subject.keywordPlus | SPIKE-LAYER SOLUTIONS | - |
dc.subject.keywordPlus | SCHRODINGER-EQUATIONS | - |
dc.subject.keywordPlus | STANDING WAVES | - |
dc.subject.keywordPlus | ELLIPTIC-EQUATIONS | - |
dc.subject.keywordPlus | POSITIVE SOLUTIONS | - |
dc.subject.keywordPlus | COMPACTNESS | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | PRINCIPLE | - |
dc.subject.keywordPlus | SYMMETRY | - |
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