A localization property at the boundary for the Monge-Ampere equation
Analysis of PDEs
2011-03-03 v3
Abstract
We consider Monge-Ampere equations with bounded right hand side and we study the geometric properties of sections centered at a boundary point. We prove that under natural boundary conditions such sections are equivalent to ellipsoids.
Cite
@article{arxiv.1010.1745,
title = {A localization property at the boundary for the Monge-Ampere equation},
author = {Ovidiu Savin},
journal= {arXiv preprint arXiv:1010.1745},
year = {2011}
}
Comments
Corrected typo on page 3, remark 3