报告题目：Nonlinear bound states with prescribed angular momentum

报 告 人：Xiaoan Shen (沈笑安, PhD Student @UIC - University of Illinois at Chicago)

报告时间：2026年7月9日（星期四）9:00—9:45

报告地点：数学科学学院114      

校内联系人：廖娴 教授       联系方式：84708351-8510

Abstract: We prove the existence of a class of orbitally stable bound state solutions to nonlinear Schrödinger equations with super-quadratic confinement in two and three spatial dimensions. These solutions are given by time-dependent rotations of a non-radially symmetric spatial profile which in itself is obtained via a doubly constrained energy minimization. One of the two constraints imposed is the total mass, while the other is given by the expectation value of the angular momentum around the z-axis. Our approach also allows for a new description of the set of minimizers subject to only a single mass constraint.