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

Zhenhua Cao; Gejun Bao; Ronglu Li; Haijing Zhu

doi:10.1155/2008/397340

Research Article
Open Access

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

Zhenhua Cao¹,
Gejun Bao¹Email author,
Ronglu Li¹ and
Haijing Zhu²

Journal of Inequalities and Applications20082008:397340

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

Received: 6 July 2008
Accepted: 5 November 2008
Published: 18 November 2008

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.

Keywords

Type System
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Authors’ Affiliations

(1)

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

(2)

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

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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.