A non-compactness result on the fractional Yamabe problem in large dimensions
DC Field | Value | Language |
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dc.contributor.author | Kim, Seunghyeok | - |
dc.contributor.author | Musso, Monica | - |
dc.contributor.author | Wei, Juncheng | - |
dc.date.accessioned | 2022-07-12T20:02:57Z | - |
dc.date.available | 2022-07-12T20:02:57Z | - |
dc.date.created | 2021-05-14 | - |
dc.date.issued | 2017-12 | - |
dc.identifier.issn | 0022-1236 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/150912 | - |
dc.description.abstract | Let (Xn+1, g(+)) be an (n + 1)-dimensional asymptotically hyperbolic manifold with conformal infinity (M-n, [(h) over cap]). The fractional Yamabe problem addresses to solve P-gamma[g(+), (h) over cap](u) = cu(n+2 gamma/n-2 gamma), u ˃ 0 on M where c is an element of R and P-gamma[g(+) , (h) over cap] is the fractional conformal Laplacian whose principal symbol is the Laplace-Beltrami operator (-Delta)(gamma) on M. In this paper, we construct a metric on the half space X = R-+(n+1), which is conformally equivalent to the unit ball, for which the solution set of the fractional Yamabe equation is non -compact provided that n ˃= 24 for gamma is an element of (0, gamma*) and n ˃= 25 for gamma is an element of [gamma*,1) where gamma* is an element of (0,1) is a certain transition exponent. The value of gamma* turns out to be approximately 0.940197. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | A non-compactness result on the fractional Yamabe problem in large dimensions | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Seunghyeok | - |
dc.identifier.doi | 10.1016/j.jfa.2017.07.011 | - |
dc.identifier.scopusid | 2-s2.0-85026864787 | - |
dc.identifier.wosid | 000413881100004 | - |
dc.identifier.bibliographicCitation | JOURNAL OF FUNCTIONAL ANALYSIS, v.273, no.12, pp.3759 - 3830 | - |
dc.relation.isPartOf | JOURNAL OF FUNCTIONAL ANALYSIS | - |
dc.citation.title | JOURNAL OF FUNCTIONAL ANALYSIS | - |
dc.citation.volume | 273 | - |
dc.citation.number | 12 | - |
dc.citation.startPage | 3759 | - |
dc.citation.endPage | 3830 | - |
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 | SCALAR-FLAT METRICS | - |
dc.subject.keywordPlus | BLOW-UP PHENOMENA | - |
dc.subject.keywordPlus | CONSTANT MEAN-CURVATURE | - |
dc.subject.keywordPlus | CRITICAL SOBOLEV GROWTH | - |
dc.subject.keywordPlus | RIEMANNIAN-MANIFOLDS | - |
dc.subject.keywordPlus | CONFORMAL DEFORMATION | - |
dc.subject.keywordPlus | COMPACTNESS THEOREM | - |
dc.subject.keywordPlus | NONLINEAR EQUATIONS | - |
dc.subject.keywordPlus | ELLIPTIC-EQUATIONS | - |
dc.subject.keywordPlus | EXISTENCE THEOREM | - |
dc.subject.keywordAuthor | Fractional Yamabe problem | - |
dc.subject.keywordAuthor | Blow-up analysis | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0022123617302896?via%3Dihub | - |
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