The scalar curvature equation on RN
β Scribed by E.S. Noussair; Shusen Yan
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 230 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We construct global exotic solutions of the conformal scalar curvature equation u + [n(n -2)/4]Ku (n+2)/(n-2) = 0 in R n , with K(x) approaching 1 near infinity in order as close to the critical exponent as possible. ο 2001 Γditions scientifiques et mΓ©dicales Elsevier SAS
Let (M, g) be a compact Riemannian manifold of dimension n ~2. First, we study the existence of positive solutions for generalized scalar curvature type equations; these equations are nonlinear, of critical Sobolev growth, and involve the p-Laplacian. Then, we study similar type of equations, but in