Article citationsMore>>

Lions, P.L. (1984) The Concentration-Compactness Principle in the Calculus of Variation. The Locally Compact Case, Part I. Annales de l’Institut Henri Poincaré—Analyse Non Linéaire, 1, 109-145, 223-283.

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.