报告题目 (Title)：Entire subsolutions of a kind of k-Hessian type equations with gradient terms（一类带梯度项的k-Hessian型方程的整体下解）
报告人 (Speaker)：蒋飞达 教授 （东南大学数学学院与丘成桐中心）
报告时间 (Time)：2023年11月8号（周三）15：00
报告地点 (Place)：腾讯会议 577493399，密码：231108
邀请人(Inviter)：席东盟、李晋、张德凯
主办部门：永利数学系
报告摘要：In this talk, we consider a k-Hessian type equations
S_k^(1/k) 〖[D〗^2 u+μ|Du|I]=f(u), and provide a necessary and sufficient condition for the solvability of entire admissible subsolutions, which can be regarded as a generalized Keller-Osserman condition. The existence and nonexistence results are proved in different ranges of the parameter μ, which embrace the standard Hessian equation case as a typical example. The difference between the semilinear case (k = 1) and the fully nonlinear case (k≥ 2) is also concerned. This is a joint work with Jingwen Ji and Mengni Li.
