Let (M, g) be a smooth compact Riemannian N-manifold, N 2, let p # (1, N) real, and let H p 1 (M) be the Sobolev space of order p involving first derivatives of the functions. By the Sobolev embedding theorem, H p 1 (M)/L p\* (M) where p\*=NpΓ(N& p). Classically, this leads to some Sobolev inequalit
β¦ LIBER β¦
Extremal functions for optimal Sobolev inequalities on compact manifolds
β Scribed by Zindine Djadli; Olivier Druet
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 210 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0944-2669
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