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

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2 papers · 1 filter

math.AP2023

Constrained Moser-Trudinger-Onofri inequality and a uniqueness criterion for the mean field equation

Xuezhang Chen, Shihong Zhang

We establish Moser-Trudinger-Onofri inequalities under constraint of a deviation of the second order moments from $0$ , which serves as an intermediate one between Chang-Hang's ineq…

math.DG2023

The $σ_{2}$ -curvature equation on a compact manifold with boundary

Xuezhang Chen, Wei Wei

We first establish local $C^{2}$ estimates of solutions to the $σ_{2}$ -curvature equation with nonlinear Neumann boundary condition. Then, under assumption that the mean curvature of a…

Constrained Moser-Trudinger-Onofri inequality and a uniqueness criterion for the mean field equation

The σ2​-curvature equation on a compact manifold with boundary

The $σ_{2}$ -curvature equation on a compact manifold with boundary