$C^{1,\alpha }$ regularity for degenerate fully nonlinear elliptic equations with oblique boundary conditions on $C^1$ domains

Sun-Sig Byun, Hongsoo Kim, Jehan Oh

We provide a sharp $C^{1,\alpha }$ estimate up to the boundary for a viscosity solution of a degenerate fully nonlinear elliptic equation with the oblique boundary condition on a $C^1$ d…