On the structure of Hardy-Sobolev-Maz'ya inequalities
Analysis of PDEs
2008-02-08 v1 Spectral Theory
Abstract
In this article we establish new improvements of the optimal Hardy inequality in the half space. We first add all possible linear combinations of Hardy type terms thus revealing the structure of this type of inequalities and obtaining best constants. We then add the critical Sobolev term and obtain necessary and sufficient conditions for the validity of Hardy-Sobolev-Maz'ya type inequalities.
Keywords
Cite
@article{arxiv.0802.0986,
title = {On the structure of Hardy-Sobolev-Maz'ya inequalities},
author = {Stathis Filippas and Achilles Tertikas and Jesper Tidblom},
journal= {arXiv preprint arXiv:0802.0986},
year = {2008}
}
Comments
20 pages