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Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities
- Chen, Wenjing;
- Kim, Seunghyeok
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3초록
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].
키워드
Fractional Yamabe-type equations; Bubble-tower solutions; RIEMANNIAN-MANIFOLDS; YAMABE PROBLEM; BLOW-UP; FRACTIONAL LAPLACIAN; PERTURBATIONS; CURVATURE; BOUNDARY; GEOMETRY
- 제목
- Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities
- 저자
- Chen, Wenjing; Kim, Seunghyeok
- 발행일
- 2018-11
- 유형
- Article
- 권
- 265
- 호
- 10
- 페이지
- 5115 ~ 5155