Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations

Abstract

We provide the Alexandroff-Bakelman-Pucci estimate and global $C^{1,\alpha }$-regularity for a class of singular/degenerate fully nonlinear elliptic equations. We also derive the existence of a viscosity solution to the Dirichlet problem with the associated operator.

23 pages