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Brézis, H. and Lieb, E. (1983) A Relation between Pointwise Convergence of Functions and Convergence of Functionals. Proceedings of the American Mathematical Society, 88, 486-490.
https://doi.org/10.1090/s0002-9939-1983-0699419-3

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.