Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case 1

DOI: 10.1155/2010/680714

Shuhong Chen,Zhong Tan

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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.

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