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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Showing 2024Show all

4 papers · 1 filter

math.AP2024

Classification of solutions to the -flat and constant -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.DG2024

Estimates for modified curvature equation on compact manifolds with boundary

Xuezhang Chen, Wei Wei

We establish the global -estimates for the modified curvature equation with prescribed boundary mean curvature, and particularly, the local boundary estimates on t…

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.

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 -spheres, including the fractional ones. These formulae have natural geometric interpretation…