71 citations · 772 across the 59 of their papers we have counts for
60 papers
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…
Approximation of weak geodesics and subharmonicity of Mabuchi energy, II: -geodesics
Long Li
The purpose of this article is to study the strict convexity of the Mabuchi functional along a -geodesic, with the aid of the -geodesics. We proved the -convergenc…
On the geometry of asymptotically flat manifolds
Xiuxiong Chen, Yu Li
In this paper, we investigate the geometry of asymptotically flat manifolds with controlled holonomy. We show that any end of such manifold admits a torus fibration over an ALE end…
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…