$C^{1,\gamma}$ regularity for fully nonlinear elliptic equations on a convex polyhedron

Abstract

In this note, we prove the boundary and global $C^{1,\gamma}$ regularity for viscosity solutions of fully nonlinear uniformly elliptic equations on a convex polyhedron by perturbation and iteration techniques.

Keywords

• $c^{1
• \gamma}$ regularity
• fully nonlinear elliptic equation
• viscosity solution