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pointwise boundary $\bm{{C}^{1,α}}$ Estimates for some degenerate fully nonlinear elliptic equations on $\bm{C^{1,α}}$ Domains (2305.12847v1)

Published 22 May 2023 in math.AP

Abstract: In this paper, we establish pointwise boundary ${{C}{1,\alpha}}$ estimates for viscosity solutions of some degenerate fully nonlinear elliptic equations on ${C{1,\alpha}}$ domains. Instead of straightening out the boundary, we utilize the perturbation and compactness techniques.

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Authors (2)