BOUNDARY REGULARITY FOR QUASILINEAR ELLIPTIC SYSTEMS
Joseph F. Grotowski · Communications in Partial Differential Equations · 2002
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.