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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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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.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.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 , which serves as an intermediate one between Chang-Hang's ineq…