Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 김승혁 | - |
dc.date.accessioned | 2019-12-03T01:54:37Z | - |
dc.date.available | 2019-12-03T01:54:37Z | - |
dc.date.issued | 2017-12 | - |
dc.identifier.citation | JOURNAL OF FUNCTIONAL ANALYSIS, v. 273, no. 12, page. 3759-3830 | en_US |
dc.identifier.issn | 0022-1236 | - |
dc.identifier.issn | 1096-0783 | - |
dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0022123617302896?via%3Dihub | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/116675 | - |
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. | en_US |
dc.description.sponsorship | S. Kim is indebted to Professor M. d. M. Gonzalez and Dr. W. Choi for their valuable comments. Also, part of the paper was written when he was visiting the University of British Columbia and Universita di Torino. He appreciates the both institutions, and especially Professor S. Terracini, for their hospitality and financial support. He was supported by FONDECYT Grant 3140530 while he worked in Pontifical Catholic University of Chile. The research of M. Musso has been partly supported by FONDECYT Grant 1160135 and Millennium Nucleus Center for Analysis of PDE, NC130017. The research of J. Wei is partially supported by NSERC RGPIN435557-13 of Canada. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | en_US |
dc.subject | Fractional Yamabe problem | en_US |
dc.subject | Blow-up analysis | en_US |
dc.title | A non-compactness result on the fractional Yamabe problem in large dimensions | en_US |
dc.type | Article | en_US |
dc.relation.no | 12 | - |
dc.relation.volume | 273 | - |
dc.identifier.doi | 10.1016/j.jfa.2017.07.011 | - |
dc.relation.page | 3759-3830 | - |
dc.relation.journal | JOURNAL OF FUNCTIONAL ANALYSIS | - |
dc.contributor.googleauthor | Kim, Seunghyeok | - |
dc.contributor.googleauthor | Musso, Monica | - |
dc.contributor.googleauthor | Wei, Juncheng | - |
dc.relation.code | 2017000965 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | shkim0401 | - |
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