报告题目：Liouville theorems and symmetry of positive solutions for partially confined nonlinear Schrodinger equations
报告人：张建军教授
报告时间：2026年10月11日（星期日）上午9:30-10:10
报告地点：卓越楼810会议室
报告摘要：In this talk, we are concerend with positive solutions of the partially confined stationary nonlinear Schrodinger equation.We prove that is necessary for positive solutions in the classes considered here, and the threshold yields several Liouville type results.In particular, for the pure-power equation. we prove that any nonnegative weak solution is trivial whenever.For or for m=1,2. For , we establish the existence of positive solutions under some standard assumptions. Furthermore, every positive solution decaying at infinity is radially symmetric and strictly decreasing in the confined variables and, up to one common translation, radially symmetric and strictly decreasing in the free variables.This talk is based on joint work with Zhijie Chen, Youjun Wang and Xuexiu Zhong.
报告人简介：张建军，重庆交通大学数学与统计学院教授，重庆数学学会副理事长，重庆市高校中青年骨干教师。博士毕业于清华大学，先后在南开大学陈省身数学研究所、巴西帕拉伊巴联邦大学、意大利因苏布里亚大学从事博士后研究。研究领域主要包括非线性分析中的变分与拓扑方法，非线性椭圆方程等。主持国家自然科学基金面上项目2项、国际合作与交流项目1项以及意大利伦巴第研究员基金（GLOCAL ERC）等。迄今已有一些重要结果发表在TAMS，JMPA，CPDE，IUMJ，SIAM，CVPDE，JDE，Nonlinearity等刊物上发表多篇论文。
