Global $C^{1,\alpha}$ regularity for Monge-Amp\`ere equations on planar convex domains
Analysis of PDEs
2025-01-30 v1
Abstract
In this paper, we establish the global H\"older gradient estimate for solutions to the Dirichlet problem of the Monge-Amp\`ere equation on strictly convex but not uniformly convex domain .
Keywords
Cite
@article{arxiv.2501.17337,
title = {Global $C^{1,\alpha}$ regularity for Monge-Amp\`ere equations on planar convex domains},
author = {Qing Han and Jiakun Liu and Yang Zhou},
journal= {arXiv preprint arXiv:2501.17337},
year = {2025}
}