Viscosity solutions of uniformly elliptic fully nonlinear equations with C^1-close-to-linear operators are C^{2,alpha} in the interior, with explicit closeness and estimate constants.
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$C^{2,\alpha}$ estimates for solutions to almost linear elliptic equations
Viscosity solutions of uniformly elliptic fully nonlinear equations with C^1-close-to-linear operators are C^{2,alpha} in the interior, with explicit closeness and estimate constants.