基础数学系学术报告
题目: Optimal regularity and Liouville property for stable solutions to semilinear elliptic equations
报告人: 彭发 （中国科学院数学与系统科学研究院）
时间：2023-04-25 11:00-12:00 (周二上午)
地点: 腾讯会议ID：944-735-382
摘要: In this talk, we will introduce a work with Yi Ru-Ya Zhang and Yuan Zhou about the regularity and Liouville property for stable solutions to semilinear elliptic equations $-\Deltau=f(u)$. When dimension $n\le 9$ and $f$ changes sign, we study the boundednees for stable solutions. When $n\ge10$ and $f$ is nonnegative, we also give the sharp BMO regularity and Morrey regularity for stable solutions. In particular, as an application, we show a sharp Liouville property for stable solutions.
报告人简介: 彭发，中国科学院博士后，曾入选2022年博士后创新人才支持计划，目前主持一项国家自然科学青年基金。已在数学际期刊Adv. Math、J. Funct. Anal、SIAM J. Math. Anal、J. Diff. Equ等发表论文。
欢迎大家参加！
邀请人：戴蔚
