2 papers
math.AP2026
Power Convexity of Solutions to the Complex Monge-Ampère Equation in Complex Dimension Two
Hongyu Chen, Jingchen Hu, Li Sheng
In this paper, we establish the power convexity of solutions to the complex Monge-Ampère equation in a convex set in the complex 2 dimensional Euclidea…
math.AP2026
Convexity of the Potential Function of the Einstein-Kähler Metric on a Convex Domain
Jingchen Hu, Li Sheng
Suppose that u is the potential function of a complete Kähler-Einstein metric on a bounded strictly convex domain in . We prove that u itself is strictly convex.