C^{1,α} regularity for a class of singular/degenerate fully nonlinear elliptic equations with oblique boundary conditions

Sun-Sig Byun; Hongsoo Kim; Seunghyun Kim

paper

C^{1,α} regularity for a class of singular/degenerate fully nonlinear elliptic equations with oblique boundary conditions

arXiv:2604.06030

Abstract

In this paper, we establish global $C^{1, α}$ 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 \cite{BKO25} to a broader class of equations, notably encompassing the singular case.