@Article{JMS-54-1,
author = {Gui, Changfeng and Hang, Fengbo and Moradifam, Amir and Xiaodong, Wang},
title = {Remarks on a Mean Field Equation on $\mathbb{S}^2$},
journal = {Journal of Mathematical Study},
year = {2021},
volume = {54},
number = {1},
pages = {81--88},
abstract = {<p style="text-align: justify;">In this note, we study symmetry of solutions of the elliptic equation</p><p style="text-align: justify;">\begin{equation*} -\Delta _{\mathbb{S}^{2}}u+3=e^{2u}\ \ \hbox{on}\ \ \mathbb{S}^{2},\end{equation*} that arises in the consideration of rigidity problem of Hawking mass in general relativity. We provide various conditions under which this equation has only constant solutions, and consequently imply the rigidity of Hawking mass for stable constant mean curvature (CMC) sphere.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v54n1.21.04},
url = {https://global-sci.com/article/87668/remarks-on-a-mean-field-equation-on-mathbbs2}
}