SPIKE LAYER SOLUTIONS FOR A SINGULARLY PERTURBED NEUMANN PROBLEM: VARIATIONAL CONSTRUCTION WITHOUT A NONDEGENERACY

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dc.contributor.authorByeon, Jaeyoungko
dc.contributor.authorMoon, Sang-Hyuckko
dc.date.accessioned2019-02-20T05:10:57Z-
dc.date.available2019-02-20T05:10:57Z-
dc.date.created2019-02-11-
dc.date.created2019-02-11-
dc.date.created2019-02-11-
dc.date.issued2019-07-
dc.identifier.citationCOMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v.18, no.4, pp.1921 - 1965-
dc.identifier.issn1534-0392-
dc.identifier.urihttp://hdl.handle.net/10203/250337-
dc.description.abstractWe 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.languageEnglish-
dc.publisherAMER INST MATHEMATICAL SCIENCES-AIMS-
dc.titleSPIKE LAYER SOLUTIONS FOR A SINGULARLY PERTURBED NEUMANN PROBLEM: VARIATIONAL CONSTRUCTION WITHOUT A NONDEGENERACY-
dc.typeArticle-
dc.identifier.wosid000456782900015-
dc.identifier.scopusid2-s2.0-85064248768-
dc.type.rimsART-
dc.citation.volume18-
dc.citation.issue4-
dc.citation.beginningpage1921-
dc.citation.endingpage1965-
dc.citation.publicationnameCOMMUNICATIONS ON PURE AND APPLIED ANALYSIS-
dc.identifier.doi10.3934/cpaa.2019089-
dc.contributor.localauthorByeon, Jaeyoung-
dc.contributor.nonIdAuthorMoon, Sang-Hyuck-
dc.description.isOpenAccessY-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorSingular perturbation-
dc.subject.keywordAuthorNeumann condition-
dc.subject.keywordAuthorspike layer-
dc.subject.keywordAuthormean curvature-
dc.subject.keywordAuthortransplantation flow-
dc.subject.keywordAuthorgradient flow-
dc.subject.keywordAuthorvariational-
dc.subject.keywordPlusLEAST-ENERGY SOLUTIONS-
dc.subject.keywordPlusNONLINEAR SCHRODINGER-EQUATIONS-
dc.subject.keywordPlusPOSITIVE SOLUTIONS-
dc.subject.keywordPlusMULTIPEAK SOLUTIONS-
dc.subject.keywordPlusELLIPTIC PROBLEMS-
dc.subject.keywordPlusSTANDING WAVES-
dc.subject.keywordPlusPEAK SOLUTIONS-
dc.subject.keywordPlusBERESTYCKI-
dc.subject.keywordPlusUNIQUENESS-
dc.subject.keywordPlusEXISTENCE-

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