13 citations · 27 across the 18 of their papers we have counts for
4 papers · 1 filter
An existence theorem on the isoperimetric ratio over scalar-flat conformal classes
Xuezhang Chen, Tianling Jin, Yuping Ruan
Let be a smooth compact Riemannian manifold of dimension with smooth boundary , admitting a scalar-flat conformal metric. We prove that the supremum of the…
Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation
Xuezhang Chen, Nan Wu
We first present a warped product manifold with boundary to show the non-uniqueness of the positive constant scalar curvature and positive constant boundary mean curvature equation…
A fractional conformal curvature flow on the unit sphere
Xuezhang Chen, Pak Tung Ho
We study a fractional conformal curvature flow on the standard unit sphere and prove a perturbation result of the fractional Nirenberg problem with fractional exponent $σ\in (1/2,1…
The Obata equation with Robin boundary condition
Xuezhang Chen, Mijia Lai, Fang Wang
We study the Obata equation with Robin boundary condition on manifolds with boundary, where . Dirichlet and Neu…