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On the Hardy-Poincaré inequality with boundary singularities

Published 2010-08-27, updated 2011-05-07Version 3

Let $\O$ be a smooth bounded domain in $\R^N$ with $N\ge 1$. In this paper we study the Hardy-Poincar\'e inequality with weight function singular at the boundary of $\O$. In particular we provide sufficient and necessary conditions on the existence of minimizers.

Categories: math.AP

Keywords: boundary singularities, weight function singular, smooth bounded domain, hardy-poincare inequality, necessary conditions

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