Remarks on a Mean Field Equation on S2

• 作者: Changfeng Gui Fengbo Hang Amir Moradifam Xiaodong Wang
• 来源期刊: 数学研究
• 年，卷（期）: 2021,（1）
• 页码范围: 81-88
• 页数: 8页
• 语种: 英文
• DOI: 10.4208/jms.v54n1.21.04

摘要

In this note, we study symmetry of solutions of the elliptic equation??S2 u+3=e2u on S2, that arises in the consideration of rigidity problem of Hawking mass in general rel-ativity. 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.