pointwise boundary $\bm{{C}^{1,α}}$ Estimates for some degenerate fully nonlinear elliptic equations on $\bm{C^{1,α}}$ Domains

Abstract: In this paper, we establish pointwise boundary ${{C}^{1,\alpha}}$ estimates for viscosity solutions of some degenerate fully nonlinear elliptic equations on ${C^{1,\alpha}}$ domains. Instead of straightening out the boundary, we utilize the perturbation and compactness techniques.