On the best constant of Hardy-Sobolev inequalities

Adimurthi, ; Filippas, Stathis ; Tertikas, Achilles (2009) On the best constant of Hardy-Sobolev inequalities Nonlinear Analysis: Theory, Methods & Applications, 70 (8). pp. 2826-2833. ISSN 0362-546X

PDF - Publisher Version

Official URL: http://dx.doi.org//10.1016/j.na.2008.12.019

Related URL: http://dx.doi.org/10.1016/j.na.2008.12.019


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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Hardy Inequality; Sobolev Inequality; Critical Exponent; Best Constant; Caffarelli-kohn-nirenberg Inequality
ID Code:12007
Deposited On:10 Nov 2010 05:08
Last Modified:16 May 2016 21:24

Repository Staff Only: item control page