核心数学研究所——几何与分析综合报告第45讲 一类带梯度项的k-Hessian型方程的整体下解

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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.

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