Clustered solutions to low-order perturbations of fractional Yamabe equations
- Authors
- Chen, Wenjing; Deng, Shengbing; Kim, Seunghyeok
- Issue Date
- Dec-2017
- Publisher
- SPRINGER HEIDELBERG
- Citation
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v.56, no.6, pp.1 - 29
- Indexed
- SCIE
SCOPUS
- Journal Title
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
- Volume
- 56
- Number
- 6
- Start Page
- 1
- End Page
- 29
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/151047
- DOI
- 10.1007/s00526-017-1253-2
- ISSN
- 0944-2669
- Abstract
- Let (X, g(+)) be an asymptotically hyperbolic manifold and (M, [(h) over cap]) be its conformal infinity. We construct positive clustered solutions to low-order perturbations of gamma-Yamabe equations (0 < gamma < 1) on (M, (h) over cap), which are slightly supercritical, under certain geometric and dimensional assumptions. These solutions certainly exhibit non-isolated blow-up.
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