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.AP2022
Scattering and blow-up for Chern-Simons-Schrödinger equations in the mass supercritical cas
Vladimir Georgiev, Tianxiang Gou
In this paper, we are concerned with solutions to the Cauchy problem for Chern-Simons-Schrödinger equations in the mass supercritical case. First we establish the local well-posedn…
math.AP2019
Normalized solutions to the Chern-Simons-Schrödinger system
Tianxiang Gou, Zhitao Zhang
In this paper, we study normalized solutions to the Chern-Simons-Schrödinger system, which is a gauge-covariant nonlinear Schöridnger system with a long-range electromagnetic field…