On the Hardy-Poincar\'e inequality with boundary singularities

Mouhamed Moustapha Fall

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arXiv · 1008.4785

On the Hardy-Poincar\'e inequality with boundary singularities

Mouhamed Moustapha Fall

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Abstract

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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Mouhamed Moustapha Fall. 2010-08-27. On the Hardy-Poincar\'e inequality with boundary singularities. https://arxiv.org/abs/1008.4785

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