PDE系列报告

报告题目： Qualitative analysis of nonlinear elliptic PDEs

报告人：李从明 教授

报告时间：2022年4月13号周三15:30-16:30

腾讯会议：680-527-566

摘要：Liouville type theorems, classification of solutions are very interesting problems in PDE analysis. Various types of aximum principles are very useful tools in PDE analysis. We give a brief introduction on the problems, the related methods, and some results with applications. We present the following three examples to illustrate the ideas, methods and possible applications: Liouville theorems for Hardy-Littlewood-Sobolev system; Liouville theorems for anti-symmetric solutions and existence; Liouville theorem for the steady incompressible Euler system.

Most of the recent results presented here are the joint work with Chenkai Liu, Yingshu Lv, Chunjing Xie and Ran Zhuo.

报告人简介：李从明，上海交通大学讲席教授，数学学院院长。李从明教授师从国际数学界分析学大师L. Nirenberg，在几何分析、流体力学、非线性偏微分和积分方程（组）及其相关应用领域做出了一系列一流的原创性工作。已发表SCI论文80余篇，包括国际顶尖期刊Ann. of Math., Invent. Math., Duke Math. J., CPAM, Adv. Math., JDG等, 被引用累计超过3300次，发表学术专著2部。2017年当选美国数学会会士，目前担任《Discrete and Continuous Dynamics, Series A》、《Acta Mathematica Scientia》编委。