estimates and existence results for certain nonconcave PDE
arXiv:1504.00963
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-Ampère PDE.
8 pages