53 citations · 131 across the 5 of their papers we have counts for
5 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…
On the constant scalar curvature Kähler metrics, general automorphism group
Xiuxiong Chen, Jingrui Cheng
In this paper, we derive estimates for scalar curvature type equations with more singular right hand side. As an application, we prove Donaldson's conjecture on the equivalence bet…
On the constant scalar curvature Kähler metrics, existence results
Xiuxiong Chen, Jingrui Cheng
In this paper, we generalize our apriori estimates on cscK(constant scalar curvature Kähler) metric equation to more general scalar curvature type equations (e.g., twisted cscK met…
On the constant scalar curvature Kähler metrics, apriori estimates
Xiuxiong Chen, Jingrui Cheng
In this paper, we derive apriori estimates for constant scalar curvature Kähler metrics on a compact Kähler manifold. We show that higher order derivatives can be estimated in term…