13 citations · 27 across the 18 of their papers we have counts for
20 papers
Obata theorem of -flat and constant associated th boundary curvature equation
Xuezhang Chen, Wei Wei
On the upper hemisphere, we use the Obata-Escobar argument to establish an Obata theorem for -flat and positive constant boundary -curvature equation, which was…
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…
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…
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.
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…
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…