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BOUNDARY REGULARITY FOR QUASILINEAR ELLIPTIC SYSTEMS
Abstract:ABSTRACT

We consider boundary regularity for solutions of certain systems of second-order nonlinear elliptic equations, and obtain a general criterion for a weak solution to be regular in the neighbourhood of a given boundary point. Combined with existing results on interior partial regularity, this result yields an upper bound on the Hausdorff dimension of the singular set at the boundary.
Keywords:Nonlinear elliptic systems  Divergence form  Partial regularity  Boundary regularity
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