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DC Field | Value | Language |
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dc.citation.endPage | 126 | - |
dc.citation.startPage | 78 | - |
dc.citation.title | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | - |
dc.citation.volume | 123 | - |
dc.contributor.author | Bartolucci, Daniele | - |
dc.contributor.author | Jevnikar, Aleks | - |
dc.contributor.author | Lee, Youngae | - |
dc.contributor.author | Yang, Wen | - |
dc.date.accessioned | 2023-12-21T19:17:23Z | - |
dc.date.available | 2023-12-21T19:17:23Z | - |
dc.date.created | 2021-07-27 | - |
dc.date.issued | 2019-03 | - |
dc.description.abstract | We prove the uniqueness of blow up solutions of the mean field equation as rho(n) -> 8 pi m, m is an element of N. If u(n,1) and u(n,2) are two sequences of bubbling solutions with the same rho(n), and the same (non degenerate) blow up set, then u(n,1) = u(n,2) for sufficiently large n. The proof of the uniqueness requires a careful use of some sharp estimates for bubbling solutions of mean field equations [22] and a rather involved analysis of suitably defined Pohozaev-type identities as recently developed in [51] in the context of the Chern-Simons-Higgs equations. Moreover, motivated by the Onsager statistical description of two dimensional turbulence, we are bound to obtain a refined version of an estimate about rho(n) - 8 pi m in case the first order evaluated in [22] vanishes. | - |
dc.identifier.bibliographicCitation | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v.123, pp.78 - 126 | - |
dc.identifier.doi | 10.1016/j.matpur.2018.12.002 | - |
dc.identifier.issn | 0021-7824 | - |
dc.identifier.scopusid | 2-s2.0-85059702567 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/53460 | - |
dc.identifier.wosid | 000459846200003 | - |
dc.language | 영어 | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.title | Uniqueness of bubbling solutions of mean field equations | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied; Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Lionville-type equations | - |
dc.subject.keywordAuthor | Mean field equations | - |
dc.subject.keywordAuthor | Bubbling solutions | - |
dc.subject.keywordAuthor | Uniqueness results | - |
dc.subject.keywordPlus | BLOW-UP ANALYSIS | - |
dc.subject.keywordPlus | LIOUVILLE-TYPE | - |
dc.subject.keywordPlus | ELLIPTIC EQUATION | - |
dc.subject.keywordPlus | SINGULAR LIMITS | - |
dc.subject.keywordPlus | NON-DEGENERACY | - |
dc.subject.keywordPlus | INEQUALITY | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | CURVATURE | - |
dc.subject.keywordPlus | SURFACES | - |
dc.subject.keywordPlus | BEHAVIOR | - |
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