Second bundary value problem for Hessian curvature equations and curvature flows

Speaker: Zhizhang Wang (Fudan University)

Time: Tuesday, 3rd Jun, 15:00-16:00

Location: Room 1610, SIMIS

Abstract: In this paper,we establish the existence of strictly convex solutions to the k-Hessian curvature equations and curvature flow equations in Ω, subject to the second boundary condition Du(Ω) = Ω∗, where Ω and Ω∗ are smooth strictly convex bounded domains in R^n.

简介：王志张，复旦大学数学科学学院教授，博导。主要从事非线性椭圆方程的理论和几何应用研究。主要研究：Form-type 方程，Hessian 方程的全局曲率估计，Minkowski 空间中的常曲率和预定曲率问题，warped 空间中的Weyl 问题和局部 Penrose 不等式等问题。在 CPAM，JDG，JEMS，AJM，Math Ann, APDE 等杂志发表文章。