Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 685046, 18 pages
doi:10.1155/2010/685046
Research Article

Gradient Estimates for Weak Solutions of 𝒜-Harmonic Equations

Fengping Yao

Department of Mathematics, Shanghai University, Shanghai 200444, China

Received 29 December 2009; Accepted 23 March 2010

Academic Editor: Wang Yong

Copyright © 2010 Fengping Yao. 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.

Abstract

We obtain gradient estimates in Orlicz spaces for weak solutions of 𝒜-Harmonic Equations under the assumptions that 𝒜 satisfies some proper conditions and the given function satisfies some moderate growth condition. As a corollary we obtain Lp-type regularity for such equations.