TITLE:
The Existence and Stability of Standing Waves for the Inhomogeneous Nonlinear Schrödinger Equation with Magnetic Potential
AUTHORS:
Peinan Yan
KEYWORDS:
Schrödinger Equation, Magnetic Field, Existence, Orbital Stability
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.4,
April
20,
2026
ABSTRACT: In this paper, we study the Cauchy problem for the three dimensional inhomogeneous nonlinear Schrödinger equation (INLS) in the presence of a constant magnetic field. We establish the existence and orbital stability of normalized standing waves. Our approach introduces a novel methodology that circumvents the widely utilized concentration-compactness principle.