偏微分方程研讨班:Brezis-Merle inequalities for the $k$-Hessian equation

中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

偏微分方程研讨班

Speaker: 王海滨 博士后（北京大学）

Inviter: 邱国寰

Language: Chinese

Title：Brezis-Merle inequalities for the $k$-Hessian equation

Time&Venue：2026年4月9日（周四）9：00-10：00&思源楼S813

Abstract:

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Speaker: 范振宇 博士（北京大学）

Inviter: 邱国寰

Language: Chinese

Title：On the sigma-2 equation and the scalar curvature equation in dimension 4

Time&Venue：2026年4月9日（周四）10：00-11：00&思源楼S813

Abstract: The problem of interior Hessian estimates and regularity for the sigma-2 equation is a longstanding open problem. Recently, Shankar and Yuan made a breakthrough on this problem in dimension 4. In this talk, I will briefly review Shankar and Yuan’s result, introduce its generalization, and present related results for the 4-dimensional scalar curvature (sigma-2 curvature) equation. This is based on the joint work with Ravi Shankar.