走向现代数学学术报告 - 杨敏波教授（No. 804)

报告题目：On some nonlinear variational problems related to the critical Hartree equation

报 告 人：杨敏波 教授（浙江师范大学）

邀 请 人：王大斌 教授

报告时间：2025年6月27日 9:00

腾讯会议ID：789 839 931

报告摘要：In this talk we will introduce several different variational models related to the critical Hartree equation. Firstly, we mainly foucus on soem variations of the classical Hardy-Littlewood-Sobolev inequality and its weighted case. Secondly, we will introduce the qualitative analysis of the critical Hartree equation and its applications in the study of the stability of a nonlocal version of Sobolev inequality and the asymptotic behavior of solutions of the nonlocal critical Hartree equations. This talk is based on several papers by Xiang Li, Fashun Gao, Vitaly Moroz, Weiwei Ye and Shuneng Zhao.

个人简历：杨敏波，浙江师范大学数学科学学院院长，教授，博士生导师。主要从事非线性分析和椭圆型方程的研究工作，在J. London Math. Soc., Calc. Var. Partial Differential Equations, J. Differential Equations, Nonlinearity等国际知名期刊发表论文100余篇。目前已主持国家自然科学基金面上项目、国际（地区）合作交流项目、省基金重点项目多项。