English

Uniform estimates: from Yau to Kolodziej

Differential Geometry 2025-02-19 v2 Analysis of PDEs Complex Variables

Abstract

In this note we provide a new and efficient approach to uniform estimates for solutions to complex Monge-Ampere equations, as well as for solutions to geometric PDE's that satisfy a determinantal majorization.

Keywords

Cite

@article{arxiv.2502.02313,
  title  = {Uniform estimates: from Yau to Kolodziej},
  author = {Vincent Guedj and Chinh H. Lu},
  journal= {arXiv preprint arXiv:2502.02313},
  year   = {2025}
}

Comments

The domination principle is added with its proof. An alternative proof of Theorem B is provided