Jingchen Hu

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20132026

most citedLoss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow

2 citations · 6 across the 10 of their papers we have counts for

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math.AP2026

Power Convexity of Solutions to the Complex Monge-Ampère Equation $det (u_{i j}) = 1$ 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 $det (u_{i j}) = 1$ in a convex set in the complex 2 dimensional Euclidean…

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 $C^{n}$ . We prove that u itself is strictly convex.

Power Convexity of Solutions to the Complex Monge-Ampère Equation det(uij​​)=1 in Complex Dimension Two

Convexity of the Potential Function of the Einstein-Kähler Metric on a Convex Domain

Power Convexity of Solutions to the Complex Monge-Ampère Equation $det (u_{i j}) = 1$ in Complex Dimension Two