报告题目：Positive solutions for non-autonomous Schrodinger-Poisson systems in dimension three
报 告 人：孙俊涛博士，山东理工大学理学院
报告时间：2015年12月18日(周五)下午14:30-15:30
报告地点：江宁校区励学楼B219(理学院学术报告厅)
主办单位：理学院
报告人简介：
孙俊涛，博士，主要从事偏微分方程分析与动力系统的研究工作。在J. Differential Equations, Proc. Roy. Soc. Edinburgh Sect. A, Discrete Contin. Dyn. Syst., Z. Angew. Math. Phys.等国际数学重要期刊上发表SCI论文30余篇，其中有6篇入选“ESI高被引论文”。主持国家自然科学基金青年项目、山东省自然科学基金青年项目、山东省自然科学基金优秀青年基金。
报告摘要：
Schrodinger-Poisson system, also known as the nonlinear Schrodinger-Maxwell equations, is suggested as a model describing the interaction of a charged particle with the electrostatic field in quantum mechanics. In this talk, by introducing a new set, which is the filtration of the Nehari manifold, and together with variational methods, we are concerned with the existence of positive solution for a class of non-autonomous Schrodinger-Poisson systems without any symmetry assumptions.