Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case
under Natural Growth Condition !()
1 Department of Information and Mathematics Sciences, China Jiliang University, Hangzhou, Zhejiang 310018, China
2 School of Mathematical Science, Xiamen University, Xiamen, Fujian 361005, China
Journal of Inequalities and Applications 2010, 2010:680714 doi:10.1155/2010/680714Published: 6 April 2010
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.