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）
报告时间：2026年5月11日（周一） 10:30-11：30
报告地点：2B-408
报告人简介：杨敏波，浙江师范大学数学科学学院院长，双龙特聘教授，博士生导师。浙江省高校中青年学科带头人，浙江省数学会副理事长、浙江省青科协理事、美国数学评论评论员。主要研究领域为非线性分析与椭圆型偏微分方程，在Annali della Scuola Normale Superiore di Pisa、Calc. Var. Partial Differential Equations、J. Lond. Math. Soc.、Mathematische Zeitschrift、Commun. Anal. Geom.、J. Differential Equations、Nonlinearity、Pacific Journal of Mathematics、Science China Math等国内外高水平学术期刊上录用发表论文100余篇。曾应邀访问巴西帕拉联邦大学、帕拉伊巴联邦大学、Juiz de Fora联邦大学、巴西利亚大学、中国科学院等国内外高校并作学术演讲，主持多项国家自然科学基金面上项目、国际（地区）合作交流项目及省部级重点项目等。
报告摘要：In this talk we will introduce several different variational models related to the critical Hartree equation. Firstly, we mainly focus on some 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.