Stability estimates for the complex Monge-Amp\`ere and Hessian equations
Differential Geometry
2021-06-09 v1 Analysis of PDEs
Abstract
A new proof for stability estimates for the complex Monge-Amp\`ere and Hessian equations is given, which does not require pluripotential theory. A major advantage is that the resulting stability estimates are then uniform under general degenerations of the background metric in the case of the Monge-Amp\`ere equation, and under degenerations to a big class in the case of Hessian equations.
Cite
@article{arxiv.2106.03913,
title = {Stability estimates for the complex Monge-Amp\`ere and Hessian equations},
author = {Bin Guo and Duong H. Phong and Freid Tong},
journal= {arXiv preprint arXiv:2106.03913},
year = {2021}
}