丘成桐中心几何与方程组周末讨论班
SEU Yau Center Geometry and PDE Weekend Seminar
为活跃中心学术氛围，促进成员间的学术交流并激发合作，丘成桐中心几何与方程组从2022年9月末开始定期组织周末讨论班。周末研讨班面向几何与方程组和全体中心成员、数学学院研究生及感兴趣的校内外师生。
2022年12月3日，几何与方程组第七次周末讨论班将由南京信息工程大学数学与统计学院季婧雯主讲，报告信息如下。
Title: Generalized Keller-Osserman conditions for Hessian type equations and blow-up problem
Speaker: Jingwen Ji（季婧雯）
Affiliation：Nanjing University of Information Science and Technology （南京信息工程大学）
Time: 10:00-11:00, December 3rd (Sat.), 2022 (GMT+8)
Venue: 腾讯会议/VooV Meeting (ID: 873-665-140)
入会链接：https://meeting.tencent.com/dm/2ESelHS9YV58
Abstract:
I will talk about the generalization of the classical Keller-Osserman condition to the fully nonlinear framework. First, I will present a review of this problem. Moreover, inspired by the Keller-Osserman type condition for the k-Hessian equation developed by Ji and Bao in 2010, which is a necessary and sufficient condition for studying the solvability of entire subsolutions to the k-Hessian equation. Then I will show a generalized Keller-Osserman condition for a kind of Hessian type equations with gradient terms. The boundary blow-up problem is an application of the Keller-Osserman conditions on bounded domains and I will present the related existence, uniqueness, and nonexistence results.
Speaker:
季婧雯，南京信息工程大学数学与统计学院在读研究生。