报告人：刘兆理教授

        首都师范大学

报告题目：Recent results for a Schrodinger system with non-constant coefficients

报告时间：2016年06月21日下午16:00

报告地点：海韵实验楼108

学院联系人:刘轼波教授

报告摘要：We consider existence of positive solutions to a Schrodinger system which stems from various aspects in physics, including Bose-Einstein condensates and nonlinear optics. This Schrodinger system has been studied extensively in the literature. Most of the known results are on the system with constant coefficients. Here we study the system with non-constant coefficients. We present results on existence of ground states, existence of positive solutions at high energy levels, and existence of multiple positive solutions. This is joint work with Haidong Liu.

报告人简介：刘兆理，国家杰出青年基金获得者，国家级高层次人才，曾获教育部自然科学二等奖。博士毕业于山东大学， 首都师范大学永利娱场城官网版app学位委员会主任、教授、博士生导师、非线性分析专家，北京市特聘教授，北京市首批拔尖人才，教育部创新团队的核心成员

    刘兆理教授长期从事临界点理论及其应用研究，系统地发展了下降流不变集方法，率先将这一新方法成功地应用于非线性椭圆型微分方程理论，在解的存在性、解的个数、变号解的个数、变号解nodal域的个数等方面获得了一批新结果，解决了多个疑难问题。出版专著一部，在Adv. Math., Comm. Math. Phy., J. Fun.Anal.，Math. Zeit. JDE., Ann. l'Inst. H. Poincaré-Anal. non Linéaire，Comm. PDE等SCI核心期刊上发表学术论文多篇。

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