The method of A -harmonic approximation and boundary regularity for nonlinear elliptic systems under the natural growth condition
Author(s): Shu Hong Chen;
Pages: 133-156
Year: 2009 Issue: 1
Journal: Acta Mathematica Sinica
Keyword: nonlinear elliptic systems ; natural growth condition ; A;harmonic approximation technique ; boundary partial regularity ;
Abstract: 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.
Pages: 133-156
Year: 2009 Issue: 1
Journal: Acta Mathematica Sinica
Keyword: nonlinear elliptic systems ; natural growth condition ; A;harmonic approximation technique ; boundary partial regularity ;
Abstract: 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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