Xiuxiong Chen

activity

20002022

most citedKahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof

71 citations · 772 across the 59 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.AP2022

The $L^{\infty}$ 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 $L^{\infty}$ and Hölder estimates. We a…

math.AP2022

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 $L^{p}$ ( $p < \infty$ ) and $L^{\infty}$ estimate for the gradient of the s…

The L∞ estimates for parabolic complex Monge-Ampere and Hessian equations

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

The $L^{\infty}$ estimates for parabolic complex Monge-Ampere and Hessian equations