Qinfeng Li

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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 $Ω \subset R^{n}$ , we can choose smooth sets $E_{k} ⋐ Ω$ such that $E_{k} \to Ω$ in $L^{1}$ and \…

math.AP2019

Some Energy Estimates for Stable Solutions to Fractional Allen-Cahn Equations

Changfeng Gui, Qinfeng Li

In this paper we study stable solutions to the fractional equation \begin{align} (-Δ)^s u =f(u), \quad |u| < 1 \quad \mbox{in $R^{d}$ }, \end{align}where $0 < s < 1$ and $f:[-1,1…