Refined geometric L^p Hardy inequalities
Analysis of PDEs
2007-05-23 v1 Spectral Theory
Abstract
For a bounded convex domain \Omega in R^N we prove refined Hardy inequalities that involve the Hardy potential corresponding to the distance to the boundary of \Omega, the volume of , as well as a finite number of sharp logarithmic corrections. We also discuss the best constant of these inequalities.
Cite
@article{arxiv.math/0302330,
title = {Refined geometric L^p Hardy inequalities},
author = {G. Barbatis and S. Filippas and A. Tertikas},
journal= {arXiv preprint arXiv:math/0302330},
year = {2007}
}
Comments
11 pages, to appear in Commun. Contemp. Math