2025.10.30 18:30--19:20 

报告一: Introduction to the fully nonlinear elliptic equations of second order

报告简介：This report introduces the theory of fully nonlinear second-order elliptic equations, focusing on their structural conditions, viscosity solutions, and key regularity results. We outline the distinctions between linear, quasilinear, and fully nonlinear cases, emphasizing the role of ellipticity and comparison principles. Fundamental examples such as the Monge–Ampère and Bellman–Isaacs equations are discussed.  

2025.10.30 19:30--20:30 

报告二: Boundary Lipschitz regularity and Hopf lemma for uniformly elliptic equations

报告简介：This report we prove the boundary Lipschitz regularity and Hopf lemma for uniformly fully nonlinear elliptic equations on a C^{1,Dini}domain by a simple unified method. The C^{1,Dini} condition on the domain is shown to be optimal.

报告地点：腾讯会议 166-674-930

报告人简介：张凯，西班牙格拉纳达大学(Universidad de Granada)博士后，研究方向：椭圆与抛物方程的正则性理论。目前在边界正则性方向取得一系列研究成果，在Arch. Ration. Mech. Anal., J. Math. Pures Appl., Math. Ann., CVPDE, J. Differential Equations, Israel J. Math., Proc. AMS等期刊上发表学术论文14篇。曾主持国家自然科学基金青年项目和陕西省自然科学基金各一项。曾获得2019年陕西省优秀博士论文、陕西省数学会2019年青年教师优秀论文奖一等奖。