activity
20122026
most citedA compactness theorem on Branson's -curvature equation

8 citations · 21 across the 10 of their papers we have counts for

collaborators

10 papers

math.DG2026

A Loewner-Nirenberg phenomena for Ricci flow on compact manifolds with boundary.II

Gang Li

This is a continuation of the research in [16]. Let be a closed geodesic -ball in the hyperbolic space . Let be a posit…

math.DG2026

A Loewner-Nirenberg phenomena for Ricci flow on compact manifolds with boundary

Gang Li

In this paper, we show that starting from a geodesic ball in , for , with prescribed non-decreasing rotationally symmetric mean curvat…

math.AP2021

A flow approach to the generalized Loewner-Nirenberg problem of the -Ricci equation

Gang Li

We introduce a flow approach to the generalized Loewner-Nirenberg problem of the -Ricci equation on a compact manifold with boundary. We prove that for…

math.DG2021

Two flow approaches to the Loewner-Nirenberg problem on manifolds

Gang Li

We introduce two flow approaches to the Loewner--Nirenberg problem on comapct Riemannian manifolds with boundary and establish the convergence of the corresponding Cauchy…

math.AP2018★ 4 cited

Nonhomogeneous Dirichlet problems without the Ambrosetti-Rabinowitz condition

Gang Li, Vicenţiu D. Rădulescu, Dušan D. Repovš +1

We consider the existence of solutions of the following -Laplacian Dirichlet problem without the Ambrosetti-Rabinowitz condition: $-\mbox{div}(|\nabla u|^{p(x)-2}\nabla u)=f(…

math.DG2017★ 5 cited

On Uniqueness And Existence of Conformally Compact Einstein Metrics with Homogeneous Conformal Infinity

Gang Li

In this paper we show that for a generalized Berger metric on close to the round metric, the conformally compact Einstein (CCE) manifold with $(S^3, [\hat{…

math.DG2016★ 3 cited

On Uniqueness of Conformally Compact Einstein Metrics with Homogeneous Conformal Infinity

Gang Li

In this paper we show that for a Berger metric on , the non-positively curved conformally compact Einstein metric on the -ball with as…

math.DG2015★ 8 cited

A compactness theorem on Branson's -curvature equation

Gang Li

Let be a closed Riemannian manifold of dimension . Assume that is not conformally equivalent to the round sphere. If the scalar curvature and the $…

math.DG2014★ 1 cited

Gap phenomena and curvature estimates for Conformally Compact Einstein Manifolds

Gang Li, Jie Qing, Yuguang Shi

In this paper we first use the result in to remove the assumption of the boundedness of Weyl curvature in the gap theorem in and then obtain a gap theorem for a…

math.DG2012

Constant Q-curvature metrics near the Hyperbolic metric

Gang Li

Let be a Poincar-Einstein manifold with a smooth defining function. In this note, we prove that there are infinitely many asymptotically hyperbolic metr…