Global $W^{2,1+\varepsilon}$ estimates for Monge-Amp\`ere equation with natural boundary condition
Analysis of PDEs
2018-12-03 v1
Abstract
For the Monge-Amp\`ere equation with a right-hand side bounded away from 0 and infinity, we show that the solution, subject to the natural boundary condition arising in optimal transport, is in up to the boundary.
Keywords
Cite
@article{arxiv.1811.12531,
title = {Global $W^{2,1+\varepsilon}$ estimates for Monge-Amp\`ere equation with natural boundary condition},
author = {Ovidiu Savin and Hui Yu},
journal= {arXiv preprint arXiv:1811.12531},
year = {2018}
}
Comments
13 pages