勷勤数学•专家报告
题 目:On some nonlinear variational problems related to the critical Hartree equation
报 告 人: 杨敏波 教授 (邀请人:钟学秀)
浙江师范大学
时 间: 4月23日 09:00-10:00
地 点:数科院西楼二楼会议室
报告人简介:
杨敏波,浙江师范大学数学科学学院院长,教授,博士生导师,主要从事非线性分和和椭圆型方程的研究工作,在Annali della Scuola Normale Superiore di Pisa、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。
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.
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