## Abstract It is known that the classic Korn inequality is not valid for Hölder __α__ domains. In this paper, we prove a family of weaker inequalities for this kind of domains, replacing the standard __L^p^__‐norms by weighted norms where the weights are powers of the distance to the boundary. In
Weighted Poincaré inequality and rigidity of complete manifolds
✍ Scribed by Peter Li; Jiaping Wang
- Publisher
- NUMDAM (Numrisation de Documents Anciens Mathmatiques)
- Year
- 2006
- Tongue
- French
- Weight
- 400 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0012-9593
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