报告问题 (Title)： Fully nonlinear elliptic equations on manifolds under weaker conditions

中文问题: 流形上弱条件下的完全非线性椭圆方程

报告人 (Speaker)：关波 教授（Ohio State University，，，USA）

报告时间 (Time)：2024年4月16号（周二）14:00

报告所在 (Place)：校本部GJ303

约请人(Inviter)：席东盟、李晋、张德凯、吴加勇

主理部分：理学院数学系

报告摘要：

In this talk we shall first survey results on solving fully nonlinear equations on manifolds, both for the Dirichlet problem and equations on closed manifolds. We shall also discuss the roles of subsolutions and concavity in the study of fully nonlinear PDEs. Then we look at some equations which do not satisfy the standard structure conditions. We shall discuss establishing a priori estimates under weaker conditions.