题目： Recent results on the number of positive solutions of an elliptic system

时间：2025年4月14日（周一）9:00-12:00

地点：数学与统计楼213会议室

报告人：刘兆理 教授 首都师范大学

摘要：In this presentation, I will discuss recent advances in determining the number of positive solutions for a particular elliptic system. This system arises naturally in several important physical models, including Bose-Einstein condensate theory and nonlinear optics. Our findings reveal several interesting phenomena: the existence of multiple positive solutions in certain parameter regimes, precise solution counts in specific cases, and the monotonic dependence of solution numbers on system parameters across different regions. This is joint work with Yongtao Jing, Fanqin Liu, Haidong Liu, Yanyan Liu, Juncheng Wei, Zhangjian Yan.

报告人简介：

刘兆理，首都师范大学数学科学学院教授，博士生导师，北京市特聘教授。从事非线性分析研究，在变分方法和椭圆型偏微分方程方面做出了多项研究成果。曾先后四次获得省部级自然科学奖和科技进步奖，曾获得国家杰出青年科学基金，被评为教育部“长江学者特聘教授”，曾获得首都劳动奖章。