报告题目: Liouville type theorem of stable solutions for several kind of the elliptic systems
报告人: 胡良根 教授(宁波大学)
报告摘要: In this talk, we are concerned with several kinds of the elliptic systems. By using of Pohozaev identity, monotonicity formula of solutions together with a blowing down sequence, we prove Liouville-type theorems of stable solutions (whether positive or sign-changing) for the weighted elliptic system in the higher dimension. On the other hand, we adopt a combination of second order stability, Souplet’s inequality and bootstrap iteration to establish Liouville type theorems for the semi-stable solutions of the weighted Lane-Emden systems.
报告人简介:胡良根,男,博士,宁波大学数学与统计学院教授。博士就读于中国科学技术大学,先后访问香港中文大学和香港科技大学。现主要研究椭圆方程(组)稳定解和有限Morse指标解的Liouville型定理和解的形态分析,主持和参与国家自然科学基金和浙江省自然科学基金等。曾获宁波市领军和拔尖人才和浙江省高校优秀青年教师等。
报告时间:2021年12月13日 周一14:00-15:00
报告地点:腾讯会议 ID:796 479 643
学院联系人:魏龙
欢迎感兴趣的老师和同学参加!