54 citations · 140 across the 31 of their papers we have counts for
4 papers · 2 filters
Remarks on a mean field equation on
Changfeng Gui, Fengbo Hang, Amir Moradifam +1
In this note, we study symmetry of solutions of the elliptic equation \begin{equation*} -Δ_{\mathbb{S}^{2}}u+3=e^{2u}\ \ \hbox{on}\ \ \mathbb{S}^{2}, \end{equation*} that arises in…
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 }, \end{align}where and $f:[-1,1…
Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions
Daniele Bartolucci, Changfeng Gui, Yeyao Hu +2
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that solutions blowing-up at the same non-degenerate blow-up set are unique. On the ot…
Axially symmetric solutions of Allen-Cahn equation with finite Morse index
Changfeng Gui, Kelei Wang, Juncheng Wei
In this paper we study axially symmetric solutions of Allen-Cahn equation with finite Morse index. It is shown that there does not exist such a solution in dimensions between a…