Xuezhang Chen

activity

20132026

most citedPrescribed scalar curvature plus mean curvature flows in compact manifolds with boundary of negative conformal invariant

13 citations · 27 across the 18 of their papers we have counts for

collaborators

Showing 2024 · math.DGShow all

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math.DG2024

Estimates for modified $σ_{2}$ curvature equation on compact manifolds with boundary

Xuezhang Chen, Wei Wei

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

math.DG2024

Green functions for GJMS operators on spheres, Gegenbauer polynomials and rigidity theorems

Xuezhang Chen, Yalong Shi

We derive explicit representation formulae of Green functions for GJMS operators on $n$ -spheres, including the fractional ones. These formulae have natural geometric interpretation…

Estimates for modified σ2​ curvature equation on compact manifolds with boundary

Green functions for GJMS operators on spheres, Gegenbauer polynomials and rigidity theorems

Estimates for modified $σ_{2}$ curvature equation on compact manifolds with boundary