On $L^\infty$ estimates for complex Monge-Amp\`ere equations
Differential Geometry
2021-06-07 v1 Analysis of PDEs
Abstract
A PDE proof is provided for the sharp estimates for the complex Monge-Amp\`ere equation which had required pluripotential theory before. The proof covers both cases of fixed background as well as degenerating background metrics. It extends to more general fully non-linear equations satisfying a structural condition, and it also gives estimates of Trudinger type.
Cite
@article{arxiv.2106.02224,
title = {On $L^\infty$ estimates for complex Monge-Amp\`ere equations},
author = {Bin Guo and Duong H. Phong and Freid Tong},
journal= {arXiv preprint arXiv:2106.02224},
year = {2021}
}
Comments
24 pages