Boundary regularity for solutions to the linearized Monge-Amp\`ere equations
Analysis of PDEs
2011-09-27 v1
Abstract
We obtain boundary Holder gradient estimates and regularity for solutions to the linearized Monge-Ampere equations under natural assumptions on the domain, Monge-Ampere measures and boundary data. Our results are affine invariant analogues of the boundary Holder gradient estimates of Krylov.
Cite
@article{arxiv.1109.5677,
title = {Boundary regularity for solutions to the linearized Monge-Amp\`ere equations},
author = {Nam Le and Ovidiu Savin},
journal= {arXiv preprint arXiv:1109.5677},
year = {2011}
}