4 papers
A sharp inequality and its applications
Suyu Li, Meijun Zhu
We establish an analog Hardy inequality with sharp constant involving exponential weight function. The special case of this inequality (for n=2) leads to a direct proof of Onofri i…
Liouville energy on a topological two sphere
XiuXiong Chen, Meijun Zhu
In this paper we shall give an analytic proof of the fact that the Liouville energy on a topological two sphere is bounded from below. Our proof does not rely on the uniformization…
One dimensional conformal metric flow II
Yilong Ni, Meijun Zhu
In this paper we continue our studies of the one dimensional conformal metric flows, which were introduced in [8]. In this part we mainly focus on evolution equations involving fou…
Some inequalities related to isoperimetric inequalities with partial free boundary
Meijun Zhu
The main purpose of this paper is to prove a sharp Sobolev inequality in an exterior of a convex bounded domain. There are two ingredients in the proof: One is the observation of s…