pointwise boundary $\bm{{C}^{1,\alpha}}$ Estimates for some degenerate fully nonlinear elliptic equations on $\bm{C^{1,\alpha}}$ Domains
Analysis of PDEs
2023-05-23 v1
Abstract
In this paper, we establish pointwise boundary estimates for viscosity solutions of some degenerate fully nonlinear elliptic equations on domains. Instead of straightening out the boundary, we utilize the perturbation and compactness techniques.
Keywords
Cite
@article{arxiv.2305.12847,
title = {pointwise boundary $\bm{{C}^{1,\alpha}}$ Estimates for some degenerate fully nonlinear elliptic equations on $\bm{C^{1,\alpha}}$ Domains},
author = {Xuemei Li and Dongsheng Li},
journal= {arXiv preprint arXiv:2305.12847},
year = {2023}
}
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10 pages