Yilong Ni

most citedSteady States for One Dimensional Conformal Metric Flows

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2006★ 1 cited

Steady States for One Dimensional Conformal Metric Flows

Yilong Ni, Meijun Zhu

We define two conformal structures on $S^{1}$ which give rise to a different view of the affine curvature flow and a new curvature flow, the `` $Q$ -curvature flow". The steady state o…

math.AP2006★ 1 cited

One Dimensional Conformal Metric Flows

Yilong Ni, Meijun Zhu

This is the second paper of our series of papers on one dimensional conformal metric flows. In this paper we continue our studies of the one dimensional conformal metric flows, whi…

math.AP2006

Sharp form for improved Moser-Trudinger inequality

Yilong Ni, Meijun Zhu

We prove that the improved Moser-Trudinger inequality with optimal coefficient $α = 1/2$ holds for all functions on $S^{2}$ with zero moments.

math.AP2006

The Mean Field Equation with Critical Parameter in a Plane Domain

Yilong Ni

Consider the mean field equation with critical parameter $8 π$ in a bounded smooth domain $Ω$ . Denote by $E_{8 π} (Ω)$ the infimum of the associated functional $I_{8 π} (Ω)$ . We call $E…