3 papers
math.AP2025
Nonlinear bound states with prescribed angular momentum in the mass supercritical regime
Tianxiang Gou, Xiaoan Shen
In this paper, we consider the existence, orbital stability/instability and regularity of bound state solutions to nonlinear Schrödinger equations with super-quadratic confinement…
math.AP2024
Nonlinear bound states with prescribed angular momentum
Irina Nenciu, Xiaoan Shen, Christof Sparber
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…
math.AP2024
Semiclassical wave-packets for weakly nonlinear Schrödinger equations with rotation
Xiaoan Shen, Christof Sparber
We consider semiclassically scaled, weakly nonlinear Schrödinger equations with external confining potentials and additional angular-momentum rotation term. This type of model ari…