A non local Monge-Ampere equation
Analysis of PDEs
2015-06-29 v2
Abstract
We introduce a non local analog to the Monge-Ampere operator and show some of its properties. We prove that a global problem involving this operator has C 1,1 solutions in the full space.
Keywords
Cite
@article{arxiv.1410.0268,
title = {A non local Monge-Ampere equation},
author = {Luis Caffarelli and Luis Silvestre},
journal= {arXiv preprint arXiv:1410.0268},
year = {2015}
}
Comments
In the second version, we corrected an issues with Lemma 4.6