报告人：彭发

邀请人：方玉周

报告题目：Regularity and Liouville property for stable solutions to semilinear elliptic equations

摘要：In this talk, we will focus on the stable solutions $u$ to semilinear elliptic equations $-\Delta u=f(u)$. Here $f: R\to R$ is locally Lipschitz function. If dimension constant $n$ less than or equal to 9，we will study the Holder regularity of

$u$. If dimension constant $n$ larger than or equal to 10, BMO and Morrey regularity of $u$ are also discussed. As an application, we will establish a Liouville type property when dimension $n\ge 10$. This work is a collaboration with Prof. Yi Ru-Ya Zhang and Yuan Zhou.

报告时间：2024年9月11日15：30——17:00

报告地点：腾讯会议   会议号：190591840 

报告人简介：彭发，现在任职于北京航空航天大学（预聘副教授）。博士毕业于北京航空航天大学，之后在中国科学院数学与系统科学研究院从事博士后工作。研究兴趣主要集中在非线性椭圆方程正则性理论。主要包括半线性椭圆方程、p-拉普拉斯方程和无穷拉普拉斯方程。目前已在J. Reine Angew. Math, Adv. Math, Anal. PDE, Int. Math. Res. Not等期刊发表论文。