The method of A-harmonic approximation and boundary regularity for nonlinear elliptic systems under the natural growth condition

Shu Hong Chen; Zhong Tan
January 2009
Acta Mathematica Sinica;Jan2009, Vol. 25 Issue 1, p133
Academic Journal
We consider the questions of boundary regularity for weak solutions of second-order nonlinear elliptic systems under the natural growth condition. We obtain a general criterion for a weak solution to be regular in the neighborhood of a given boundary point. The proof yields directly the optimal regularity for the solution in this neighborhood. This result is new for the situation under the natural growth conditions.


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