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学术讲座 Lecture

【21.1.15 10:30-11:30】学术报告---孙玉华教授

2021-01-12 11:38:09 来源:学术报告---孙玉华教授 点击: 收藏本文

报告人:孙玉华教授南开大学

时 间:2021年1月15日上午 10:30-11:30

地点:华南数学应用与交叉研究中心学术报告厅111

题目:Liouville's theorems to quasilinear differential inequalities involving gradient nonlinearity term on manifolds


摘要:

We investigate the nonexistence and existence of nontrivial positive solutions to $\Delta_m u+u^p|\nabla u|^q\leq0$ on $M$, where $m>1$, $M$ is a noncompact geodesically complete manifold, and $(p,q)\in \mathbb{R}^2$. According to classification of $(p, q)$, we establish sharp volume growth conditions to present Liouville's theorems for the above quasilinear differential inequalities. Moreover, the results are completely new for $(p, q)$ of negative power, even in the Euclidean space.


报告人简介:

孙玉华,南开大学数学科学院副教授,研究方向为流形上的分析、椭圆与抛物方程,已在CPAM、JFA、CVPDE等期刊上发表学术论文16篇。