Skip to main content
Journal of Inequalities and Applications
Download PDF

Sharp Hardy-Sobolev Inequalities with General Weights and Remainder Terms

Journal of Inequalities and Applications volume 2009, Article number: 419845 (2009) Cite this article

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.

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations

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

    Yaotian Shen & Zhihui Chen

Authors
  1. Yaotian Shen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhihui Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhihui Chen.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Cite this article

Shen, Y., Chen, Z. Sharp Hardy-Sobolev Inequalities with General Weights and Remainder Terms. J Inequal Appl 2009, 419845 (2009). https://doi.org/10.1155/2009/419845

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2009/419845

Keywords

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