English

Gradient estimate for complex Monge-Ampere equation with continuous right hand side

Analysis of PDEs 2022-02-01 v1 Complex Variables Differential Geometry

Abstract

In this note, we consider complex Monge-Ampere equation posed on a compact K\"ahler manifold. We show how to get LpL^p(p<p<\infty) and LL^{\infty} estimate for the gradient of the solution in terms of the continuity of the right hand side.

Keywords

Cite

@article{arxiv.2201.13330,
  title  = {Gradient estimate for complex Monge-Ampere equation with continuous right hand side},
  author = {Xiuxiong Chen and Jingrui Cheng},
  journal= {arXiv preprint arXiv:2201.13330},
  year   = {2022}
}
R2 v1 2026-06-24T09:11:05.729Z