C^2,α estimates for nonlinear elliptic equations of twisted type

2015/01/26 by Collins, Tristan C. · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1501.06455

Abstract

We prove a priori interior C^2,α 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.

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• The parabolic split-type Monge-Ampere on split tangent bundle surfaces

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