Speaker: 罗海军副教授，湖南大学

Inviter: 张志涛

Title: Normalized ground states of a coupled

Language: Chinese

Time & Venue: 2026.07.21 09:00-10:00 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.