DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byeon, Jaeyoung | ko |
dc.contributor.author | Jin, Sangdon | ko |
dc.date.accessioned | 2018-10-19T00:49:50Z | - |
dc.date.available | 2018-10-19T00:49:50Z | - |
dc.date.created | 2018-10-08 | - |
dc.date.created | 2018-10-08 | - |
dc.date.created | 2018-10-08 | - |
dc.date.issued | 2018-09 | - |
dc.identifier.citation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.38, no.9, pp.4353 - 4390 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.uri | http://hdl.handle.net/10203/246165 | - |
dc.description.abstract | For n >= 3 and p = (n+2)/(n- 2), we consider the Henon equation with the homogeneous Neumann boundary condition -Delta u + u = vertical bar x vertical bar(alpha) u(p), u > 0 in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where Omega subset of B(0,1) subset of R-n, n >= 3, alpha >= 0 and partial derivative*Omega partial derivative Omega boolean AND partial derivative B(0, 1) not equal empty set. It is well known that for alpha = 0, there exists a least energy solution of the problem. We are concerned on the existence of a least energy solution for alpha > 0 and its asymptotic behavior as the parameter a approaches from below to a threshold alpha(0) is an element of (0, infinity] col for existence of a least energy solution. | - |
dc.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | THE HENON EQUATION WITH A CRITICAL EXPONENT UNDER THE NEUMANN BOUNDARY CONDITION | - |
dc.type | Article | - |
dc.identifier.wosid | 000445565900006 | - |
dc.identifier.scopusid | 2-s2.0-85049176664 | - |
dc.type.rims | ART | - |
dc.citation.volume | 38 | - |
dc.citation.issue | 9 | - |
dc.citation.beginningpage | 4353 | - |
dc.citation.endingpage | 4390 | - |
dc.citation.publicationname | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.identifier.doi | 10.3934/dcds.2018190 | - |
dc.contributor.localauthor | Byeon, Jaeyoung | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Least energy solutions | - |
dc.subject.keywordAuthor | Henon equation | - |
dc.subject.keywordAuthor | limiting profile | - |
dc.subject.keywordAuthor | Neumann boundary condition | - |
dc.subject.keywordAuthor | weighted equations | - |
dc.subject.keywordPlus | LEAST-ENERGY SOLUTIONS | - |
dc.subject.keywordPlus | CRITICAL SOBOLEV EXPONENTS | - |
dc.subject.keywordPlus | GROUND-STATE SOLUTIONS | - |
dc.subject.keywordPlus | ASYMPTOTIC-BEHAVIOR | - |
dc.subject.keywordPlus | ELLIPTIC-EQUATIONS | - |
dc.subject.keywordPlus | POSITIVE SOLUTIONS | - |
dc.subject.keywordPlus | CRITICAL GROWTH | - |
dc.subject.keywordPlus | PROFILE | - |
dc.subject.keywordPlus | INEQUALITIES | - |
dc.subject.keywordPlus | SYMMETRY | - |
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