Noris, B., Tavares, H. and Verzini, G. (2019) Normalized Solutions for Nonlinear Schrödinger Systems on Bounded Domains. Nonlinearity, 32, 1044-1072.
https://doi.org/10.1088/1361-6544/aaf2e0

has been cited by the following article:

• TITLE: Normalized Ground State Solutions to Fractional Schrödinger Equations with General Nonlinearities

  AUTHORS: Yifei Zhang

  KEYWORDS: Fractional Schrödinger Equation, Normalized Solution, Constrained Minimization

  JOURNAL NAME: Open Access Library Journal, Vol.12 No.4, April 29, 2025

  ABSTRACT: This paper investigates the existence of normalized solutions to a fractional Schrödinger equation with combined nonlinearities. In previous studies, the equation −Δu+λu=g( u )+ | u | q−2 u . where N≥3,2<q< 2 * = 2N N−2 has been proven to have solutions through various constraints and methods. Furthermore, we consider the existence of solutions for fractional equations. In the L 2 -supercritical cases, we employ the Sobolev subcritical approximation method to establish the existence of normalized ground-state solutions.