3 citations · 7 across the 15 of their papers we have counts for
4 papers · 2 filters
On Laplacian eigenvalue equation with constant Neumann boundary data
Yong Huang, Qinfeng Li, Qiuqi Li +1
Let be a bounded Lipshcitz domain in and we study boundary behaviors of solutions to the Laplacian eigenvalue equation with constant Neumann data. \begin{align}…
On smooth interior approximation of Sets of Finite Perimeter
Changfeng Gui, Yeyao Hu, Qinfeng Li
In this paper, we prove that for any bounded set of finite perimeter , we can choose smooth sets such that in and \…
Some geometric inequalities related to Liouville equation
Changfeng Gui, Qinfeng Li
In this paper, we prove that if is a solution to the Liouville equation \begin{align} \label{scalliouville} Δu+e^{2u} =0 \quad \mbox{in ,} \end{align}then the dia…
Rigidity results on Liouville equation
Alexandre Eremenko, Changfeng Gui, Qinfeng Li +1
We give a complete classification of solutions bounded from above of the Liouville equation $$-Δu=e^{2u}\quad\mbox{in}\quad {\mathbf{R}}^2.$$ More generally, solutions in the class…