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-averaging domains and Poincaré inequalities with Orlicz norms

✍ Scribed by Shusen Ding


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
337 KB
Volume
73
Category
Article
ISSN
0362-546X

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Weighted Poincaré and Korn inequalities
✍ Gabriel Acosta; Ricardo G. Durán; Ariel L. Lombardi 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 166 KB

## 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