2 citations · 2 across the 1 of their papers we have counts for
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A Liouville Theorem on the PDE
An-Min Li, Li Sheng
Let be a smooth plurisubharmonic function which solves $$ \det(f_{i\bar j})=1\;\;\;\;\;\;\mbox{in }Ω\subset \mathbb C^n.$$ Suppose that the metric $ω_{f}=\sqrt{-1}f_{i\bar j}dz…
Some Estimates for a Generalized Abreu's Equation
An-Min Li, Zhao Lian, Li Sheng
We study a generalized Abreu equation and derive some estimates.
Differential inequalities on homogeneous toric bundles
An-Min Li, Li Sheng, Guosong Zhao
We study a generalized Abreu Equation in -dimensional polytopes and prove some differential inequalities for homogeneous toric bundles.
Interior Regularity for a generalized Abreu Equation
An-Min Li, Zhao Lian, Li Sheng
We study a generalized Abreu Equation in -dimensional polytopes and derive interior estimates of solutions under the assumption of the uniform -stability.
Prescribed Scaler Curvatures for Homogeneous Toric Bundles
Bohui Chen, Qing Han, An-Min Li +2
In this paper, we study the generalized Abreu equation on a Delzant ploytope and prove the existence of the constant scalar metrics of homogeneous toric bun…
The interior regularity of the Calabi flow on a toric surface
Xiuxiong Chen, Hongnian Huang, Li Sheng
Let X be a toric surface with Delzant polygon P and u(t) be a solution of the Calabi flow equation on P. Suppose the Calabi flow exists in [0, T). By studying local estimates of th…