报告题目：On planar Schrödinger-Newton systems

报 告 人： 张建军 重庆交通大学 教授

报告时间：2022年5月9日（周一）下午14:00-15:00

报告形式：腾讯会议 会议号：684890543

报告摘要：In this talk, we focus on the existence of positive solutions to a planar Schrödinger-Newton system with subcritical or critical growth. A new variational approach is established and enables us to study such problem in the Sobolev space as usual. The analysis developed in this paper also allows to investigate the relation between a Schrödinger-Newton system of Riesz-type and a Schrödinger-Poisson system of logarithmic-type. Furthermore, this new approach can provide a new look at the planar Schrödinger-Newton system and may have some potential applications in various related problems. This is a joint work with Zhisu Liu, Vicentiu D. Radulescu and Chunlei Tang and one

with Zhisu Liu, Vicentiu D. Radulescu.

报告人简介：张建军，重庆交通大学数学与统计学院教授。2001年本科毕业于中国矿业大学数学系，2012年于清华大学数学科学系获博士学位，2018年获得意大利副教授国家资格认证，2020年入选重庆市高校中青年骨干教师，主持国家自然科学基金面上项目、国际（地区）合作交流项目和意大利伦巴第研究员基金（Global ERC）各1项。在临界情形的非线性薛定谔方程的半经典状态的研究等方面取得了一些重要结果并发表在国际权威学术刊物上，如Communications in Partial Differential Equations，Journal of Differential Equations, Calculus of Variations and Partial Differential Equations, Nonlinearity, Journal of the London Mathematical Society和Proceedings of the Royal Society of Edinburgh-Section A Mathematics等。