Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 김승혁 | - |
dc.date.accessioned | 2019-12-04T06:17:27Z | - |
dc.date.available | 2019-12-04T06:17:27Z | - |
dc.date.issued | 2018-01 | - |
dc.identifier.citation | ANALYSIS & PDE, v. 11, no. 1, page. 75-113 | en_US |
dc.identifier.issn | 1948-206X | - |
dc.identifier.uri | https://msp.org/apde/2018/11-1/p02.xhtml | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/117273 | - |
dc.description.abstract | Let X be an asymptotically hyperbolic manifold and M its conformal infinity. This paper is devoted to deducing several existence results of the fractional Yamabe problem on M under various geometric assumptions on X andM. Firstly, we handle when the boundary M has a point at which the mean curvature is negative. Secondly, we re-encounter the case when M has zero mean curvature and satisfies one of the following conditions: nonumbilic, umbilic and a component of the covariant derivative of the Ricci tensor on (X) over bar is negative, or umbilic and nonlocally conformally flat. As a result, we replace the geometric restrictions given by Gonzalez and Qing (2013) and Gonzalez and Wang (2017) with simpler ones. Also, inspired by Marques (2007) and Almaraz (2010), we study lower-dimensional manifolds. Finally, the situation when X is Poincare-Einstein and M is either locally conformally flat or 2-dimensional is covered under a certain condition on a Green's function of the fractional conformal Laplacian. | en_US |
dc.description.sponsorship | The authors appreciate the referee for valuable comments which significantly improved the manuscript. Kim was supported by FONDECYT Grant 3140530 while he worked in Pontifical Catholic University of Chile. Musso is partially supported by FONDECYT Grant 1160135 and Millennium Nucleus Center for Analysis of PDE, NC130017. The research of Wei is partially supported by NSERC of Canada. Part of the paper was finished during the stay of Kim at the University of British Columbia and Wuhan University. He thanks the institutions for their hospitality and financial support. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | MATHEMATICAL SCIENCE PUBL | en_US |
dc.subject | fractional Yamabe problem | en_US |
dc.subject | conformal geometry | en_US |
dc.subject | existence | en_US |
dc.title | EXISTENCE THEOREMS OF THE FRACTIONAL YAMABE PROBLEM | en_US |
dc.type | Article | en_US |
dc.relation.no | 1 | - |
dc.relation.volume | 11 | - |
dc.identifier.doi | 10.2140/apde.2018.11.75 | - |
dc.relation.page | 75-113 | - |
dc.relation.journal | ANALYSIS & PDE | - |
dc.contributor.googleauthor | Kim, Seunghyeok | - |
dc.contributor.googleauthor | Musso, Monica | - |
dc.contributor.googleauthor | Wei, Juncheng | - |
dc.relation.code | 2018011136 | - |
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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