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Partial Regularity for Nonlinear Elliptic Systems: The Method of A-harmonic Approximation



Abstract. We consider questions of boundary regularity for solutions of systems of second-order nonlinear elliptic equations satisfying non-homogeneous Dirichlet boundary conditions. We obtain a criterion for a weak solution to be regular in the neighbourhood of a given boundary point. The regularity proof is based on the method of so-called A-harmonic approximation

Year: 2011
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