中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
非线性泛函分析研讨班
Speaker: 罗海军 副教授（湖南大学）
Inviter: 张志涛
Language: Chinese
Title: Normalized ground states of a coupled Schrodinger system with potentials
Time&Venue: 2026年7月21日（星期二）9:00-10:00 南楼N818
Abstract: This talk is concerned with normalized ground states of a coupled Schrodinger system with potentials. More precisely, we focus on two cases: one involving Sobolev-critical nonlinearity with a Hardy potential, and the other involving mass-supercritical but Sobolev-subcritical nonlinearity with a general potential. We establish the existence, symmetry, and asymptotic behavior of these normalized ground states. The novelty lies in the introduction of a new functional that allows us to work directly with minimizing sequences, rather than with Palais–Smale sequences. These are my recent joint works with Dr. Chonghao Deng and Prof. Zhitao Zhang.