$C^{2,\alpha}$ estimates for nonlinear elliptic equations of twisted type
Analysis of PDEs
2015-01-27 v1 Differential Geometry
Abstract
We prove a priori interior 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.
Keywords
Cite
@article{arxiv.1501.06455,
title = {$C^{2,\alpha}$ estimates for nonlinear elliptic equations of twisted type},
author = {Tristan C. Collins},
journal= {arXiv preprint arXiv:1501.06455},
year = {2015}
}