Hardy-Poincare' inequalities with boundary singularities

Mouhamed Moustapha Fall; Roberta Musina

Hardy-Poincare' inequalities with boundary singularities

Analysis of PDEs 2010-05-20 v1

Authors: Mouhamed Moustapha Fall , Roberta Musina

Abstract

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.

Keywords

hardy inequalities bounded domains

Cite

@article{arxiv.1005.3400,
  title  = {Hardy-Poincare' inequalities with boundary singularities},
  author = {Mouhamed Moustapha Fall and Roberta Musina},
  journal= {arXiv preprint arXiv:1005.3400},
  year   = {2010}
}

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