Open Access

Sharp Hardy-Sobolev Inequalities with General Weights and Remainder Terms

Journal of Inequalities and Applications20092009:419845

DOI: 10.1155/2009/419845

Received: 18 December 2008

Accepted: 10 August 2009

Published: 27 September 2009

Abstract

We consider a class of sharp Hardy-Sobolev inequality, where the weights are functions of the distance from a surface. It is proved that the Hardy-Sobolev inequality can be successively improved by adding to the right-hand side a lower-order term with optimal weight and constant.

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Authors’ Affiliations

(1)
Department of Mathematics, South China University of Technology

Copyright

© Y. Shen and Z. Chen. 2009

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.