Xuezhang Chen

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math.DG2025

Conformal metrics of the ball with constant $I ¨ _{k}$ -curvature and constant boundary mean curvature

Xuezhang Chen, Wei Wei

On the upper hemisphere, we use the Obata-Escobar argument to classify conformal metrics with constant $I ¨ _{k}$ curvature and constant boundary mean curvature in all types of cones i…

math.DG2024

Estimates for modified $I ¨ _{2}$ curvature equation on compact manifolds with boundary

Xuezhang Chen, Wei Wei

We establish the global $C^{2}$ -estimates for the modified $I ¨ _{2}$ curvature equation with prescribed boundary mean curvature, and particularly, the local boundary $C^{2}$ estimates on…

Conformal metrics of the ball with constant I¨k​-curvature and constant boundary mean curvature

Estimates for modified I¨2​ curvature equation on compact manifolds with boundary

Conformal metrics of the ball with constant $I ¨ _{k}$ -curvature and constant boundary mean curvature

Estimates for modified $I ¨ _{2}$ curvature equation on compact manifolds with boundary