Xingchen Zhou

activity

20202026

most citedHessian estimates for Lagrangian mean curvature equation with sharp Lipschitz phase

1 citations · 1 across the 11 of their papers we have counts for

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3 papers · 1 filter

math.AP2024

New Approach for Interior Regularity of Monge-Ampère Equations

Ruosi Chen, Xingchen Zhou

By developing an integral approach, we present a new method for the interior regularity of strictly convex solution of the Monge-Ampère equation $det D^{2} u = 1$ .

math.AP2024

An Integral Approach to Prescribing Scalar Curvature Equations

Ruosi Chen, Huaiyu Jian, Xingchen Zhou

We develop an integral approach to obtain interior a priori $C^{1, 1}$ estimates for convex solutions of prescribing scalar curvature equations $σ_{2} (κ) = f (x)$ as well as the Hessia…

math.AP2024

A priori interior estimates for special Lagrangian curvature equations

Guohuan Qiu, Xingchen Zhou

We establish a priori interior curvature estimates for the special Lagrangian curvature equations in both the critical phase and convex case. Additionally, we prove a priori interi…