C^{1,α} regularity for a class of singular/degenerate fully nonlinear elliptic equations with oblique boundary conditions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911573962915840 |
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| author | Byun, Sun-Sig Kim, Hongsoo Kim, Seunghyun |
| author_facet | Byun, Sun-Sig Kim, Hongsoo Kim, Seunghyun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06030 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | C^{1,α} regularity for a class of singular/degenerate fully nonlinear elliptic equations with oblique boundary conditions Byun, Sun-Sig Kim, Hongsoo Kim, Seunghyun Analysis of PDEs 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. |
| title | C^{1,α} regularity for a class of singular/degenerate fully nonlinear elliptic equations with oblique boundary conditions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2604.06030 |