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NODAL SOLUTIONS FOR A YAMABE TYPE EQUATION
- Authors
- Kim, Seunghyeok; Pistoia, Angela
- Issue Date
- 2017
- Publisher
- YOKOHAMA PUBL
- Keywords
- Yamabe problem; linear perturbation; Nodal solutions; blow-up points
- Citation
- JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, v.18, no.7, pp.1361 - 1373
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
- Volume
- 18
- Number
- 7
- Start Page
- 1361
- End Page
- 1373
- ISSN
- 1345-4773
- Abstract
- 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.
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Related Researcher
- Kim, Seung hyeok
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)