报告题目 (Title):Entire subsolutions of a kind of k-Hessian type equations with gradient terms
中文标题: 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
报告摘要:In this talk, we consider a k-Hessian type equations, 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 , 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.