71 citations · 772 across the 59 of their papers we have counts for
6 papers · 1 filter
The estimates for parabolic complex Monge-Ampere and Hessian equations
Xiuxiong Chen, Jingrui Cheng
In this paper, we consider a version of parabolic complex Monge-Ampere equations, and use a PDE approach similar to Phong et al to establish and Hölder estimates. We a…
Gradient estimate for complex Monge-Ampere equation with continuous right hand side
Xiuxiong Chen, Jingrui Cheng
In this note, we consider complex Monge-Ampere equation posed on a compact Kähler manifold. We show how to get () and estimate for the gradient of the s…
Geodesic Convexity of Small Neighborhood in the Space of Kähler Potentials
Xiuxiong Chen, Mikhail Feldman, Jingchen Hu
We show that, given , , any point in space of non-degenerate smooth Kähler potentials has a small neighborhood with respect to norm…
A class of fully nonlinear equations
Xiuxiong Chen, Weiyong He
In this paper we consider a class of fully nonlinear equations which cover the equation introduced by S. Donaldson a decade ago and the equation introduced by Gursky-Streets recent…
-estimate for Monge-Ampere equations with Hölder-continuous right hand side
Xiuxiong Chen, Yuanqi Wang
We present a somewhat new proof to the -aprori estimate for the uniform elliptic Monge-Ampere equations, in both the real and complex settings. Our estimates do not need t…
Liouville energy on a topological two sphere
XiuXiong Chen, Meijun Zhu
In this paper we shall give an analytic proof of the fact that the Liouville energy on a topological two sphere is bounded from below. Our proof does not rely on the uniformization…