Abstract
We provide the Alexandroff–Bakelman–Pucci estimate and global \(C^{1, \alpha }\)-regularity for a class of singular/degenerate fully nonlinear elliptic equations. We also derive the existence of a viscosity solution to the Dirichlet problem with the associated operator.
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The authors would like to express their sincere gratitude to the anonymous referees who provided valuable comments and suggestions on the earlier version, which improved the clarity and understanding of the manuscript.
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Sumiya Baasandorj was supported by NRF-2022R1A2C1009312. Sun-Sig Byun and Ki-Ahm Lee were supported by NRF-2021R1A4A1027378. Se-Chan Lee was supported by NRF-2022R1A6A3A01086546.
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Baasandorj, S., Byun, SS., Lee, KA. et al. Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations. Math. Z. 306, 1 (2024). https://doi.org/10.1007/s00209-023-03400-9
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DOI: https://doi.org/10.1007/s00209-023-03400-9