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arXiv · 1005.3400

Hardy-Poincare' inequalities with boundary singularities

Mouhamed Moustapha Fall·Roberta Musina
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Abstract

Let $Ø$ be a bounded domain in $\R^N$ with $0\in\deØ$ and $N\ge 2$. In this paper we study the Hardy-Poincaré inequality for maps in $H^1_0(Ω)$. In particular we give sufficient and some necessary conditions so that the best constant is achieved.

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Mouhamed Moustapha Fall, Roberta Musina. 2010-05-19. Hardy-Poincare' inequalities with boundary singularities. https://arxiv.org/abs/1005.3400

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