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Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities
- Title
- Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities
- Author
- 김승혁
- Keywords
- Fractional Yamabe-type equations; Bubble-tower solutions
- Issue Date
- 2018-11
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Citation
- JOURNAL OF DIFFERENTIAL EQUATIONS, v. 265, no. 10, page. 5115-5155
- Abstract
- Assume that (X, g(+)) is an asymptotically hyperbolic manifold with conformal infinity (M, [(h) over cap]). We construct positive and sign-changing bubble-tower solutions to low-order perturbations of gamma-Yamabe equations (0 < gamma < 1) on (M, (h) over cap). These solutions exhibit isolated but non-simple blow-up in the sense of Schoen [30]. (C) 2018 Elsevier Inc. All rights reserved.
- URI
- https://www.sciencedirect.com/science/article/pii/S0022039618303516?via%3Dihubhttps://repository.hanyang.ac.kr/handle/20.500.11754/120575
- ISSN
- 0022-0396; 1090-2732; 10.1016/j.jde.2018.06.029
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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