On a class of Rellich inequalities
Analysis of PDEs
2007-05-23 v1 Spectral Theory
Abstract
We prove Rellich and improved Rellich inequalities that involve the distance function from a hypersurface of codimension , under a certain geometric assumption. In case the distance is taken from the boundary, that assumption is the convexity of the domain. We also discuss the best constant of these inequalities.
Cite
@article{arxiv.math/0412146,
title = {On a class of Rellich inequalities},
author = {G. Barbatis and A. Tertikas},
journal= {arXiv preprint arXiv:math/0412146},
year = {2007}
}
Comments
15 pages. To appear in J. Comput. Appl. Math