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.APShow all

2 papers · 2 filters

math.AP2024

Classification of solutions to the $Q$ -flat and constant $T$ -curvature equation on the half-space and ball

Xuezhang Chen, Shihong Zhang

For conformal boundary operators associated with the Paneitz operator, we introduce a rigorous definition of the biharmonic Poisson kernel consisting of a pair of kernel functions…

math.AP2024

A sharp Sobolev trace inequality of order four on three-balls

Xuezhang Chen, Shihong Zhang

We establish a fourth order sharp Sobolev trace inequality on three-balls, and its equivalence to a third order sharp Sobolev inequality on two-spheres.

Classification of solutions to the Q-flat and constant T-curvature equation on the half-space and ball

A sharp Sobolev trace inequality of order four on three-balls

Classification of solutions to the $Q$ -flat and constant $T$ -curvature equation on the half-space and ball