报告题目:On some nonlinear variational problems related to the critical Hartree equation
报告人: 杨敏波教授
报告时间:2025年6月20日(星期五)上午10:30-11:30
报告地点:藕舫楼724
主持人: 刘文军教授
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 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.
报告人简介:杨敏波教授,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Calc. Var. Partial Differential Equations, Mathematische Zeitschrift, Commun. Anla. Geom., J. Differential Equations, Nonlinearity等国际知名刊物发表论文80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。
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数学与统计学院
江苏省应用数学(南京信息工程大学)中心
江苏省系统建模与数据分析国际合作联合实验室
2025年6月9日