$C^{2,\alpha }$ estimates for nonlinear elliptic equations of twisted type

Abstract

We prove a priori interior $C^{2,\alpha }$ estimates for solutions of fully nonlinear elliptic equations of twisted type. For example, our estimates apply to equations of the type convex + concave. These results are particularly well suited to equations arising from elliptic regularization. As application, we obtain a new proof of an estimate of Streets-Warren on the twisted real Monge-Ampere equation.