A note on Hardy's inequalities with boundary singularities

Details A note on Hardy's inequalities with boundary singularities A note on Hardy's inequalities with boundary singularities

2010-09-16

arxiv.org/abs/1009.3158v1

Mathematics

Analysis of PDEs

24 pages

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 inequalities with weight function singular at the
boundary of $\O$. In particular we give sufficient conditions so that the best
constant is achieved.

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