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Esteban, M.J. and Lions, P. (1989) Stationary Solutions of Nonlinear Schrödinger Equations with an External Magnetic Field. In: Colombini, F., Marino, A., Modica, L. and Spagnolo, S., Eds., Partial Differential Equations and the Calculus of Variations, Birkhäuser Boston, 401-449.
https://doi.org/10.1007/978-1-4684-9196-8_18

has been cited by the following article:

• 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.