Remarks on a mean field equation on ${\mathbb{S}}^2$

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…