Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces

Abstract

We establish sharp local $C^{1,\alpha }$-regularity for weak solutions to degenerate elliptic equations of $p$-Laplacian type with data in Morrey spaces. The proof relies on the Fefferman-Phong inequality and standard tools from regularity theory for nonlinear PDEs.

12 pages