Global regularity for the Dirichlet problem of Monge-Amp\`ere equation in convex polytopes
Analysis of PDEs
2025-04-18 v1
Abstract
We study the Dirichlet problem for Monge-Amp\`ere equation in bounded convex polytopes. We give sharp conditions for the existence of global and convex solutions provided that a global , convex subsolution exists.
Keywords
Cite
@article{arxiv.2504.12987,
title = {Global regularity for the Dirichlet problem of Monge-Amp\`ere equation in convex polytopes},
author = {Genggeng Huang and Weiming Shen},
journal= {arXiv preprint arXiv:2504.12987},
year = {2025}
}