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

Mouhamed Moustapha Fall

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

Analysis of PDEs 2011-05-10 v3

Authors: Mouhamed Moustapha Fall

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.

Keywords

minimizers hardy inequalities boundary value problems

Cite

@article{arxiv.1008.4785,
  title  = {On the Hardy-Poincar\'e inequality with boundary singularities},
  author = {Mouhamed Moustapha Fall},
  journal= {arXiv preprint arXiv:1008.4785},
  year   = {2011}
}

Related papers

View all related →