Open Access

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

Journal of Inequalities and Applications20082008:397340

DOI: 10.1155/2008/397340

Received: 6 July 2008

Accepted: 5 November 2008

Published: 18 November 2008


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.

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Authors’ Affiliations

Department of Mathematics, Harbin Institute of Technology
College of Mathematics and Physics, Shan Dong Institute of Light Industry


© Zhenhua Cao et al. 2008

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.