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arXiv · 2604.06030

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

Sun-Sig Byun·Hongsoo Kim·Seunghyun Kim
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Abstract

In this paper, we establish global $C^{1, \alpha}$ 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.

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Sun-Sig Byun, Hongsoo Kim, Seunghyun Kim. 2026-04-07. C^{1,\alpha} regularity for a class of singular/degenerate fully nonlinear elliptic equations with oblique boundary conditions. https://arxiv.org/abs/2604.06030

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