Skip to main content
Journal of Inequalities and Applications
Download PDF
  • Research Article
  • Open access
  • Published:

The Reverse Hölder Inequality for the Solution to p-Harmonic Type System

Journal of Inequalities and Applications volume 2008, Article number: 397340 (2008) Cite this article

Abstract

Some inequalities to -harmonic equation have been proved. The -harmonic equation is a particular form of -harmonic type system only when and . In this paper, we will prove the Poincaré inequality and the reverse Hölder inequality for the solution to the -harmonic type system.

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations

  1. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

    Zhenhua Cao, Gejun Bao & Ronglu Li

  2. College of Mathematics and Physics, Shan Dong Institute of Light Industry, Jinan, 250353, China

    Haijing Zhu

Authors
  1. Zhenhua Cao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gejun Bao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ronglu Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Haijing Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gejun Bao.

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

Cao, Z., Bao, G., Li, R. et al. The Reverse Hölder Inequality for the Solution to p-Harmonic Type System. J Inequal Appl 2008, 397340 (2008). https://doi.org/10.1155/2008/397340

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2008/397340

Keywords