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arXiv:1005.3400 [math.AP]AbstractReferencesReviewsResources

Hardy-Poincare' inequalities with boundary singularities

Mouhamed Moustapha Fall, Roberta Musina

Published 2010-05-19Version 1

Let $\O$ be a bounded domain in $\R^N$ with $0\in\de\O$ and $N\ge 2$. In this paper we study the Hardy-Poincar\'e inequality for maps in $H^1_0(\Omega)$. In particular we give sufficient and some necessary conditions so that the best constant is achieved.

Categories: math.AP
Subjects: 35J20, 35J57, 35J75, 35B33, 35A01
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