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NODAL SOLUTIONS FOR A YAMABE TYPE EQUATION
- Kim, Seunghyeok;
- Pistoia, Angela
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0초록
Let (M, g) be a non-locally conformally flat compact Riemannian manifold with dimension N >= 7. We build sign-changing solutions to the linear perturbation of the Yamabe problem -L(g)u + epsilon u = vertical bar u vertical bar (4/N-2) u in (M, g) which blow-up at one or more points in M as epsilon goes to zero.
키워드
Yamabe problem; linear perturbation; Nodal solutions; blow-up points; COMPACT RIEMANNIAN-MANIFOLDS; NONLINEAR ELLIPTIC-EQUATIONS; CURVATURE TYPE EQUATIONS; CRITICAL SOBOLEV GROWTH; SCALAR CURVATURE; BLOW-UP; PERTURBATIONS; EXAMPLES; PROOF
- 제목
- NODAL SOLUTIONS FOR A YAMABE TYPE EQUATION
- 저자
- Kim, Seunghyeok; Pistoia, Angela
- 발행일
- 2017-00
- 유형
- Article
- 권
- 18
- 호
- 7
- 페이지
- 1361 ~ 1373