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Cazenave, T. (2003) Semilinear Schrödinger Equations, Courant Lecture Notes in Mathematics. Vol. 10, New York University, Courant Institute of Mathematical Sciences/American Mathematical Society, New York/Providence, RI.
https://doi.org/10.1090/cln/010

has been cited by the following article:

• TITLE: Existence and Stability of Standing Waves for the Nonlinear Schrödinger Equation with Combined Nonlinearities and a Partial Harmonic Potential

  AUTHORS: Wei Wang

  KEYWORDS: Nonlinear Schrödinger Equation, Orbital Stability, Standing Waves

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.5, May 10, 2024

  ABSTRACT: In this paper, we study the existence of standing waves for the nonlinear Schrödinger equation with combined power-type nonlinearities and a partial harmonic potential. In the L2-supercritical case, we obtain the existence and stability of standing waves. Our results are complements to the results of Carles and Il’yasov’s artical, where orbital stability of standing waves have been studied for the 2D Schrödinger equation with combined nonlinearities and harmonic potential.