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  • Research Article
  • Open Access

Sharp Hardy-Sobolev Inequalities with General Weights and Remainder Terms

Journal of Inequalities and Applications20092009:419845

  • Received: 18 December 2008
  • Accepted: 10 August 2009
  • Published:


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.


  • Optimal Weight
  • Full Article
  • Remainder Term
  • General Weight
  • Publisher Note

Publisher note

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Authors’ Affiliations

Department of Mathematics, South China University of Technology, Guangzhou, 510640, China


© 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.