Southwest Jiaotong University School of Mathematics


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来源:分析和方程团队   作者:分析和方程团队     日期:2021-04-19 09:16:34   点击数:  

题目:On weakly coupled elliptic systems with critical growth

报告人:张建军 重庆交通大学 教授

时间:  421日(周三)上午10: 30-11: 20


摘要:In this talk, we are concerned with positive vector solutions of Bose-Einstein type systems in dimension four and two. The interaction is critical in the sense of Sobolev in dimension four and of critical exponential type in the sense of Moser in dimension two. In dimension four, via the Hopf fibration approach, concentration phenomena around spheres are investigated in the attractive case as the Planck constant goes to zero. As for dimension two, we prove, using variational methods, the existence of positive vector ground state solutions both in the attractive and repulsive cases.  This talk is based on joint work with Joao Marcos do O and with Daniele Cassani and Hugo Tavares.


个人简介:张建军,重庆交通大学数学与统计学院教授。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 EquationsJournal 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。研究结果被SCI他引500余次。