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arXiv · 1501.06455

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

Tristan C. Collins
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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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Tristan C. Collins. 2015-01-26. $C^{2,α}$ estimates for nonlinear elliptic equations of twisted type. https://arxiv.org/abs/1501.06455

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