A note on Hardy's inequalities with boundary singularities

Mouhamed Moustapha Fall

A note on Hardy's inequalities with boundary singularities

Analysis of PDEs 2010-09-17 v1

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

Keywords

hardy inequalities boundary value problems pseudoconvex domains

Cite

@article{arxiv.1009.3158,
  title  = {A note on Hardy's inequalities with boundary singularities},
  author = {Mouhamed Moustapha Fall},
  journal= {arXiv preprint arXiv:1009.3158},
  year   = {2010}
}

Comments

24 pages

Related papers

View all related →