Hardy-Poincare' inequalities with boundary singularities

Details Hardy-Poincare' inequalities with boundary singularities Hardy-Poincare' inequalities with boundary singularities

2010-05-19

arxiv.org/abs/1005.3400v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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