Regularity of Solutions for the Generalized Inhomogeneous Neumann Boundary Value Problem

We describe regularity results for viscosity solutions of a fully nonlinear (possible degenerate) second-order elliptic PDE with inhomogeneous Neumann boundary condition holding in the generalized sense. These results only require thatΩis uniformly convex, ∂Ω C1, χfor someχ (0, 1) and that the differential operators satisfy mild regularity constraints such as Hölder continuity