On the Hardy-Poincaré inequality with boundary singularities

Details On the Hardy-Poincaré inequality with boundary singularities On the Hardy-Poincaré inequality with boundary singularities

2010-08-27

arxiv.org/abs/1008.4785v3

Mathematics

Analysis of PDEs

Scientific paper

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.

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