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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 3872 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 3848 | - |
dc.citation.title | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.citation.volume | 252 | - |
dc.contributor.author | Byeon, Jaeyoung | - |
dc.contributor.author | Lee, Youngae | - |
dc.date.accessioned | 2023-12-22T05:14:33Z | - |
dc.date.available | 2023-12-22T05:14:33Z | - |
dc.date.created | 2021-07-27 | - |
dc.date.issued | 2012-03 | - |
dc.description.abstract | Let Omega be a bounded domain in R-N with the boundary partial derivative Omega is an element of C-3. We consider the following singularly perturbed nonlinear elliptic problem on Omega, epsilon(2)Delta nu - v + f(v)=0, v > 0 on Omega, partial derivative v/partial derivative nu = 0 on partial derivative Omega, where nu is the exterior normal to partial derivative Omega and the nonlinearity f is of subcritical growth. It has been known that under Berestycki and Lions conditions for f is an element of C-1(R) and N >= 3, there exists a solution nu(epsilon) of the problem which develops a spike layer near a local maximum point of the mean curvature H on partial derivative Omega for small epsilon > 0. In this paper, we extend the previous result for f is an element of C-0(R) and N >= 2. | - |
dc.identifier.bibliographicCitation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.252, no.6, pp.3848 - 3872 | - |
dc.identifier.doi | 10.1016/j.jde.2011.12.013 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.scopusid | 2-s2.0-84855976396 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/53478 | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0022039611005171 | - |
dc.identifier.wosid | 000299799500005 | - |
dc.language | 영어 | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Singularly perturbed nonlinear Neumann problems under the conditions of Berestycki and Lions | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordPlus | LEAST-ENERGY SOLUTIONS | - |
dc.subject.keywordPlus | SCALAR FIELD-EQUATIONS | - |
dc.subject.keywordPlus | ELLIPTIC PROBLEMS | - |
dc.subject.keywordPlus | SCHRODINGER-EQUATIONS | - |
dc.subject.keywordPlus | MULTIPEAK SOLUTIONS | - |
dc.subject.keywordPlus | STANDING WAVES | - |
dc.subject.keywordPlus | MEAN-CURVATURE | - |
dc.subject.keywordPlus | EXISTENCE | - |
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