C1,α regularity for a class of singular/degenerate fully nonlinear elliptic equations with oblique boundary conditions

Abstract

In this paper, we establish boundary C1,α regularity for viscosity solutions to a class of singular and degenerate fully nonlinear elliptic equations subject to oblique boundary conditions. Our work extends the findings in Byun et al (2025 Calc. Var. PDE 64 20) to a broader class of equations, notably encompassing the singular case.