DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byeon, J | - |
dc.date.accessioned | 2015-06-25T03:37:15Z | - |
dc.date.available | 2015-06-25T03:37:15Z | - |
dc.date.created | 2010-11-24 | - |
dc.date.issued | 2010-04 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.other | 2015-OAK-0000021999 | en_US |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/12975 | - |
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.description.statementofresponsibility | open | en_US |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.relation.isPartOf | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.rights | BY_NC_ND | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.0/kr | en_US |
dc.title | SINGULARLY PERTURBED NONLINEAR DIRICHLET PROBLEMS WITH A GENERAL NONLINEARITY | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | en_US |
dc.identifier.doi | 10.1090/S0002-9947-09-04746-1 | - |
dc.author.google | Byeon, Jaeyoung | en_US |
dc.relation.volume | 362 | en_US |
dc.relation.issue | 4 | en_US |
dc.relation.startpage | 1981 | en_US |
dc.relation.lastpage | 2001 | en_US |
dc.contributor.id | 10057452 | en_US |
dc.relation.journal | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | en_US |
dc.relation.index | SCI급, SCOPUS 등재논문 | en_US |
dc.collections.name | Journal Papers | en_US |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.362, no.4, pp.1981 - 2001 | - |
dc.identifier.wosid | 000275819200012 | - |
dc.date.tcdate | 2019-01-01 | - |
dc.citation.endPage | 2001 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 1981 | - |
dc.citation.title | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 362 | - |
dc.contributor.affiliatedAuthor | Byeon, J | - |
dc.identifier.scopusid | 2-s2.0-77950887105 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 22 | - |
dc.type.docType | 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 | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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