DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byeon, Jaeyoung | ko |
dc.contributor.author | Moon, Sang-Hyuck | ko |
dc.date.accessioned | 2019-02-20T05:10:57Z | - |
dc.date.available | 2019-02-20T05:10:57Z | - |
dc.date.created | 2019-02-11 | - |
dc.date.created | 2019-02-11 | - |
dc.date.created | 2019-02-11 | - |
dc.date.issued | 2019-07 | - |
dc.identifier.citation | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.18, no.4, pp.1921 - 1965 | - |
dc.identifier.issn | 1534-0392 | - |
dc.identifier.uri | http://hdl.handle.net/10203/250337 | - |
dc.description.abstract | We consider the following singularly perturbed problem epsilon(2)Delta u - u + f(u) = 0, u > 0 in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega. Existence of a solution with a spike layer near a min-max critical point of the mean curvature on the boundary partial derivative Omega is well known when a nondegeneracy for a limiting problem holds. In this paper, we use a variational method for the construction of such a solution which does not depend on the nondengeneracy for the limiting problem. By a purely variational approach, we construct the solution for an optimal class of nonlinearities f satisfying the Berestycki-Lions conditions. | - |
dc.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | SPIKE LAYER SOLUTIONS FOR A SINGULARLY PERTURBED NEUMANN PROBLEM: VARIATIONAL CONSTRUCTION WITHOUT A NONDEGENERACY | - |
dc.type | Article | - |
dc.identifier.wosid | 000456782900015 | - |
dc.identifier.scopusid | 2-s2.0-85064248768 | - |
dc.type.rims | ART | - |
dc.citation.volume | 18 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 1921 | - |
dc.citation.endingpage | 1965 | - |
dc.citation.publicationname | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | - |
dc.identifier.doi | 10.3934/cpaa.2019089 | - |
dc.contributor.localauthor | Byeon, Jaeyoung | - |
dc.contributor.nonIdAuthor | Moon, Sang-Hyuck | - |
dc.description.isOpenAccess | Y | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Singular perturbation | - |
dc.subject.keywordAuthor | Neumann condition | - |
dc.subject.keywordAuthor | spike layer | - |
dc.subject.keywordAuthor | mean curvature | - |
dc.subject.keywordAuthor | transplantation flow | - |
dc.subject.keywordAuthor | gradient flow | - |
dc.subject.keywordAuthor | variational | - |
dc.subject.keywordPlus | LEAST-ENERGY SOLUTIONS | - |
dc.subject.keywordPlus | NONLINEAR SCHRODINGER-EQUATIONS | - |
dc.subject.keywordPlus | POSITIVE SOLUTIONS | - |
dc.subject.keywordPlus | MULTIPEAK SOLUTIONS | - |
dc.subject.keywordPlus | ELLIPTIC PROBLEMS | - |
dc.subject.keywordPlus | STANDING WAVES | - |
dc.subject.keywordPlus | PEAK SOLUTIONS | - |
dc.subject.keywordPlus | BERESTYCKI | - |
dc.subject.keywordPlus | UNIQUENESS | - |
dc.subject.keywordPlus | EXISTENCE | - |
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