Smoothness for Degenerate Elliptic Equations with Matrix Weights
摘要
We establish local boundedness, Harnack inequality and local regularity for weak solutions of quasilinear degenerate elliptic equations in divergence form. The degeneracy arises from a non negative, symmetric, measurable matrix-valued function Q(x) and two suitable non negative weight functions. Regularity results are achieved under minimal assumptions on the coefficient.