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Bellazzini. J. and Siciliano, G. (2011) Stable Standing Waves for a Class of Nonlinear Schrödinger-Poisson Equations. Zeitschrift für angewandte Mathematik und Physik, 62, 267-280.
https://doi.org/10.1007/s00033-010-0092-1

has been cited by the following article:

• TITLE: Existence and Stability of Standing Waves with Prescribed L2-Norm for a Class of Schrödinger-Bopp-Podolsky System

  AUTHORS: Chunliu Liu

  KEYWORDS: Schrödinger-Bopp-Podolsky System, Standing Waves, Normalized Solution, Orbital Stability

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.7, July 28, 2022

  ABSTRACT: In this paper, we look for solutions to the following Schrödinger-Bopp-Podolsky system with prescribed L2-norm constraint , where q ≠ 0, a, ρ > 0are constants. At first, by the classical minimizing argument, we obtain a ground state solution to the above problem for sufficiently small ρ when . Secondly, in the case p = 6, we show the nonexistence of positive solutions by using a Liouville-type result. Finally, we argue by contradiction to investigate the orbital stability of standing waves for .