Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 397340, 15 pages
Research Article

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

Zhenhua Cao,1 Gejun Bao,1 Ronglu Li,1 and Haijing Zhu2

1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
2College of Mathematics and Physics, Shan Dong Institute of Light Industry, Jinan 250353, China

Received 6 July 2008; Revised 9 September 2008; Accepted 5 November 2008

Academic Editor: Shusen Ding

Copyright © 2008 Zhenhua Cao et al. 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.


Some inequalities to A-harmonic equation A(x,du)=dv have been proved. The A-harmonic equation is a particular form of p-harmonic type system A(x,a+du)=b+dv only when a=0 and b=0. In this paper, we will prove the Poincaré inequality and the reverse Hölder inequality for the solution to the p-harmonic type system.