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math.AP2021
Solitary waves for the nonlinear Schrödinger-Poisson system with positron-electron interaction
Sangdon Jin, Jinmyoung Seok
In this paper, we study the existence of positive solutions to the nonlinear elliptic system, which is derived from taking the nonrelativistic limit of the nonlinear Maxwell-Klein-…
math.AP2021
Uniqueness and orbital stability of standing waves for the nonlinear Schrodinger equation with a partial confinement
Sangdon Jin, Younghun Hong
We consider the 3d cubic nonlinear Schrödinger equation (NLS) with a strong 2d harmonic potential. The model is physically relevant to observe the lower-dimensional dynamics of the…
math.AP2021
Orbital stability for the mass-critical and supercritical pseudo-relativistic nonlinear Schrodinger equation
Sangdon Jin, Younghun Hong
For the one-dimensional mass-critical/supercritical pseudo-relativistic nonlinear Schrodinger equation, a stationary solution can be constructed as an energy minimizer under an add…