Felmer, P. and Torres, C. (2014) Radial Symmetry of Ground States for a Regional Fractional Nonlinear Schrödinger Equation. Communications on Pure and Applied Analysis, 13, 2395-2406.
https://doi.org/10.3934/cpaa.2014.13.2395

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.