$C^{2,\alpha}$ estimates and existence results for certain nonconcave PDE
Analysis of PDEs
2015-04-07 v1 Differential Geometry
Abstract
We establish estimates for PDE of the form convex a sum of weakly concave functions of the Hessian, thus generalising a recent result of Collins which is in turn inspired by a theorem of Caffarelli and Yuan. Independently, we also prove an existence result for a certain generalised Monge-Amp\`ere PDE.
Cite
@article{arxiv.1504.00963,
title = {$C^{2,\alpha}$ estimates and existence results for certain nonconcave PDE},
author = {Vamsi P. Pingali},
journal= {arXiv preprint arXiv:1504.00963},
year = {2015}
}
Comments
8 pages