Boundary towers of layers for some supercritical problems
DC Field | Value | Language |
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dc.contributor.author | Kim, Seunghyeok | - |
dc.contributor.author | Pistoia, A | - |
dc.date.accessioned | 2022-07-16T07:49:42Z | - |
dc.date.available | 2022-07-16T07:49:42Z | - |
dc.date.created | 2021-05-13 | - |
dc.date.issued | 2013-10 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/161702 | - |
dc.description.abstract | We consider the supercritical problem -Delta u = vertical bar u vertical bar(p-1)u in D, u = 0 on partial derivative D, where D is a bounded smooth domain in RN and p is smaller than the kappa-th critical Sobolev exponent 2*(N,kappa) := N-kappa+2/N-kappa-2 with 1 <= kappa <= N - 3. We show that in some suitable torus-like domains D there exists an arbitrary large number of sign-changing solutions with alternate positive and negative layers which concentrate at different rates along a kappa-dimensional submanifold of partial derivative D as p approaches 2*(N,kappa) from below. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Boundary towers of layers for some supercritical problems | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Seunghyeok | - |
dc.identifier.doi | 10.1016/j.jde.2013.06.017 | - |
dc.identifier.scopusid | 2-s2.0-84881062277 | - |
dc.identifier.wosid | 000322935100009 | - |
dc.identifier.bibliographicCitation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.255, pp.2302 - 2339 | - |
dc.relation.isPartOf | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.citation.title | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.citation.volume | 255 | - |
dc.citation.startPage | 2302 | - |
dc.citation.endPage | 2339 | - |
dc.type.rims | ART | - |
dc.type.docType | 정기학술지(Article(Perspective Article포함)) | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | CRITICAL SOBOLEV EXPONENT | - |
dc.subject.keywordPlus | SIGN-CHANGING SOLUTIONS | - |
dc.subject.keywordPlus | ELLIPTIC PROBLEM | - |
dc.subject.keywordPlus | NONLINEAR PROBLEM | - |
dc.subject.keywordPlus | PIERCED DOMAINS | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordAuthor | Existence sign changing solutions | - |
dc.subject.keywordAuthor | Nonlinear elliptic boundary value problem | - |
dc.subject.keywordAuthor | Supercritical exponents | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0022039613002544?via%3Dihub | - |
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