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On critical Hartree equations: qualitative analysis and its applications.
杨敏波 教授(浙江师范大学)
2021年12月10日 10:00-11:00  腾讯会议:756 407 233

*主持人:叶东 教授

*讲座内容简介:
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.

*主讲人简介:
杨敏波教授,浙江师范大学,数学与计算机科学学院副院长,博士生导师,浙江省高校中青年学科带头人。主要从事非线性分析及其应用领域的研究,主持或参与多项国家与省级科研项目,完成巴西国家科学技术发展委员会CNPq项目一项。在CVPDE、JDE、Com. Anal. Geometry、Nonlinearity、 DCDS-A 等权威期刊上发表学术论文六十余篇。