On the best constant of Hardy-Sobolev Inequalities
Analysis of PDEs
2009-11-06 v1 Functional Analysis
Abstract
We obtain the sharp constant for the Hardy-Sobolev inequality involving the distance to the origin. This inequality is equivalent to a limiting Caffarelli-Kohn-Nirenberg inequality. In three dimensions, in certain cases the sharp constant coincides with the best Sobolev constant.
Keywords
Cite
@article{arxiv.0911.0948,
title = {On the best constant of Hardy-Sobolev Inequalities},
author = {Adimurthi and Stathis Filippas and Achilles Tertikas},
journal= {arXiv preprint arXiv:0911.0948},
year = {2009}
}