摘要
本文介绍球面上平均场类方程的新进展及公开问题.特别地,我们引入一些新的Aubin-Onofri型不等式,同时讨论这些不等式与平均场类方程之间的紧密联系.
In this expository note,we will introduce the recent progress and open problems concerning mean field type equations on spheres.In particular,some new inequalities of Aubin-Onofri type as well as their close connection to mean field type equations are presented.
作者
桂长峰
胡烨耀
谢维洪
Gui Changfeng;Hu Yeyao;Xie Weihong(Department of Mathematics,The University of Texas at San Antonio,TX 78249,USA;School of Mathematics and Statistics,Central South University,Changsha 410075,China)
出处
《数学理论与应用》
2021年第3期13-37,共25页
Mathematical Theory and Applications