时间：2021年12月3日（星期五） 下午14:00-17:00
地点：腾讯会议ID: 245 298 655
报告题目1：Another look at planar Schrodinger-Newton systems
报告人：张建军 教授 重庆交通大学
摘要：In this talk, we focus on the existence of positive solutions to a planar Schrodinger-Newton system with subcritical or critical growth. A new variational approach is established and enables us to study such problem in the Sobolev space H1(R2). The analysis developed in this paper also allows to investigate the relation between a Schrodinger-Newton system of Riesz-type and a Schrodinger-Poisson system of logarithmic-type. Furthermore, this new approach can provide a new look at the planar Schrodinger-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.
报告人简介：张建军，重庆交通大学数学与统计学院教授，重庆市数学会副理事长。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, Proceedings of the Royal Society of Edinburgh, Section A Mathematics，Journal of the London Mathematical Society等。
报告题目2：Multiplicity and concentration results for a magnetic Schrodinger equation with exponential critical growth in R2
报告人：姬超 副教授 华东理工大学
摘要：In this talk, we are concerned with the nonlinear magnetic Schrodinger equation with exponential critical growth in R2. Under a local assumption and a global assumption on the potential V respectively, we show multiplicity and concentration of solutions. This is a joint work with Professor Pietro d'Avenia.
报告人简介: 姬超，华东理工大学副教授，2009年于兰州大学获得博士学位，师从范先令教授。他目前的研究兴趣主要包括对数薛定谔方程，带磁场的非线性薛定谔方程和非线性薛定谔方程的正规化解。在包括 Science China Mathematics, International Mathematics Research Notices, Israel Journal of Mathematics, Calculus of Variations and Partial Differential Equations, Journal of the London Mathematical Society, Journal of Differential Equations, The Journal of Geometric Analysis，Discrete and Continuous Dynamical Systems等国际知名刊物上发表SCI论文四十多篇。现主持国家自然科学基金面上项目和上海市自然科学基金各一项。现为《Mathematical Methods in the Applied Sciences》,《Discrete & Continuous Dynamical System-S》,《Boundary Value Problems》等多个国际刊物编委。
报告题目3：On some conjectures and open problems of Schrodinger equations in RN.
报告人：吴元泽 副教授 中国矿业大学
摘要：In this talk, I will report our recent results, which are based on the joint works with Professor Juncheng Wei, on some conjectures and open problems of Schrodinger equations in RN. By introducting new ideas and deriving sharp pointwise estimates, we give almost complete answers to these conjectures and open problems.
报告人简介: 吴元泽，中国矿业大学优秀青年骨干教师、副教授、博士生导师。2013年于苏州大学获博士学位。主要研究领域为非线性分析和非线性椭圆型偏微分方程（组）。现主持国家自然科学基金面上项目一项，主持完成国家自然科学基金青年基金、数学天元基金各1项，参与国家自然科学基金面上项目等各类项目5项。在Math. Ann.，J. Math. Pures Appl.，Calc. Var. PDEs，J. London Math. Soc.，Ann. Mat. Pura Appl.等国际权威学术刊物上发表SCI论文近30篇。
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数学科学学院
