Boundary regularity result for quasilinear elliptic systems
Shuhong Chen, Zhong Tan · Journal of Inequalities and Applications · 2012
We consider boundary regularity for weak solutions of second-order quasilinear elliptic systems under controllable growth condition, and obtain a general criterion for a weak solution to be regular in the neighborhood 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.