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DC Field | Value | Language |
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dc.citation.endPage | 928 | - |
dc.citation.number | 1-2 | - |
dc.citation.startPage | 881 | - |
dc.citation.title | MATHEMATISCHE ANNALEN | - |
dc.citation.volume | 367 | - |
dc.contributor.author | Lee, Youngae | - |
dc.contributor.author | Seok, Jinmyoung | - |
dc.date.accessioned | 2023-12-21T22:39:11Z | - |
dc.date.available | 2023-12-21T22:39:11Z | - |
dc.date.created | 2021-07-27 | - |
dc.date.issued | 2017-02 | - |
dc.description.abstract | Let be a smooth bounded domain in , . We consider the following singularly perturbed nonlinear elliptic problem on Omega, epsilon(2) Delta v - v + f (v) = 0, v > 0 on Omega, partial derivative v/partial derivative v = 0 on partial derivative Omega, where is an exterior unit normal vector to and a nonlinearity f satisfies subcritical growth condition. It has been known that for any , , there exists a solution of the above problem which exhibits -boundary peaks and -interior peaks for small under rather strong conditions on f, such as the linearized non-degeneracy condition for a limiting problem. In this paper, we extend the previous result to more general class of f satisfying Berestycki-Lions conditions which we believe to be almost optimal. | - |
dc.identifier.bibliographicCitation | MATHEMATISCHE ANNALEN, v.367, no.1-2, pp.881 - 928 | - |
dc.identifier.doi | 10.1007/s00208-016-1412-3 | - |
dc.identifier.issn | 0025-5831 | - |
dc.identifier.scopusid | 2-s2.0-84964378627 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/53470 | - |
dc.identifier.wosid | 000394252800025 | - |
dc.language | 영어 | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.title | Multiple interior and boundary peak solutions to singularly perturbed nonlinear Neumann problems under the Berestycki-Lions condition | - |
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 | SCHRODINGER-EQUATIONS | - |
dc.subject.keywordPlus | ELLIPTIC PROBLEMS | - |
dc.subject.keywordPlus | STANDING WAVES | - |
dc.subject.keywordPlus | EXISTENCE | - |
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