Xuezhang Chen

collaborators

2 papers

math.DG2015

A nonlocal $Q$ -curvature flow on a class of closed manifolds of dimension $n \geq 5$

Xuezhang Chen

In this paper, we employ a nonlocal $Q$ -curvature flow inspired by Gursky-Malchiodi's work \cite{gur_mal} to solve the prescribed $Q$ -curvature problem on a class of closed manifol…

math.DG2014

The Paneitz-Sobolev constant of a closed Riemannian manifold and an application to the nonlocal $Q$ -curvature flow

Xuezhang Chen

In this paper, we establish that: Suppose a closed Riemannian manifold $(M^{n}, g_{0})$ of dimension $\geq 8$ is not locally conformally flat, then the Paneitz-Sobolev constant of $M^{n}$ …

A nonlocal Q-curvature flow on a class of closed manifolds of dimension n≥5

The Paneitz-Sobolev constant of a closed Riemannian manifold and an application to the nonlocal Q-curvature flow

A nonlocal $Q$ -curvature flow on a class of closed manifolds of dimension $n \geq 5$

The Paneitz-Sobolev constant of a closed Riemannian manifold and an application to the nonlocal $Q$ -curvature flow