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On critical Hartree equations: qualitative analysis and its applications
报告人:杨敏波教授,浙江师范大学 时间:2021年11月24日8:30 字号:

腾讯会议:532451457

邀请人:雷雨田教授

摘要:In this talk I will first introduce some qualitative properties of the solutions of the critical Hartree equation, such as the regularity, symmetry, decay estimates, classification and nondegeneracy. Then as an application of the properties, we will apply variational methods and Lyapunov-Schmidt reduction arguments to study the existence, multiplicity and blow-up phenomena of the nonlocal equation with Hardy-Littlewood-Sobolev critical exponents. This is based on recent works with Fashun Gao, Vitaly Moroz, Xianmei Zhou and Shunneng Zhao.


简介:杨敏波,浙江师范大学教授,博士生导师。主要研究非线性分析与椭圆型偏微分方程,在Calc. Var. PDEs、J.Differential Equations、Ann. Mat. Pura. Appl.、Commun. Contemp. Math.、Discrete Contin. Dyn. Syst. A、Proc. Roy. Soc. Edinburgh. A等期刊发表论文50余篇;主持多项国家自然科学基金项目与浙江省自然科学基金项目。




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