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Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinitiesopen access
- Authors
- Chen, Wenjing; Kim, Seunghyeok
- Issue Date
- Nov-2018
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Fractional Yamabe-type equations; Bubble-tower solutions
- Citation
- JOURNAL OF DIFFERENTIAL EQUATIONS, v.265, no.10, pp.5115 - 5155
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF DIFFERENTIAL EQUATIONS
- Volume
- 265
- Number
- 10
- Start Page
- 5115
- End Page
- 5155
- ISSN
- 0022-0396
- 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].
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Related Researcher
- Kim, Seung hyeok
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)