On the best constant of Hardy―Sobolev inequalities

By Adimurthi, Stathis Filippas, A. Tertikas. 2009

63 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0a3cf36fbebb8dde2aebfbb2ac75f57b190b1fb3