Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 680714, 23 pages
doi:10.1155/2010/680714
Research Article

Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case 1<m<2 under Natural Growth Condition

Shuhong Chen1,2 and Zhong Tan2

1Department of Information and Mathematics Sciences, China Jiliang University, Hangzhou, Zhejiang 310018, China
2School of Mathematical Science, Xiamen University, Xiamen, Fujian 361005, China

Received 16 November 2009; Accepted 18 March 2010

Academic Editor: Shusen Ding

Copyright © 2010 Shuhong Chen and Zhong Tan. 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 consider the interior regularity for weak solutions of second-order nonlinear elliptic systems with subquadratic growth under natural growth condition. We obtain a general criterion for a weak solution to be regular in the neighborhood of a given point. In particularly the regularity we obtained is optimal.