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math.AP2022
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 \…
math.AP2022
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…
math.AP2022★ 3 cited
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…