Open AccessInfinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation
Author(s) -
Jiafa Xu,
Liu Jie,
Donal O’Regan
Publication year - 2021
Publication title -
nonlinear analysis
Language(s) - English
Resource type - Journals
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/namc.2021.26.22496
Subject(s) - fountain , perturbation (astronomy) , nonlinear system , nonlinear schrödinger equation , mathematics , schrödinger equation , mathematical analysis , physics , quantum mechanics , archaeology , history
In this paper, we use the Fountain theorem under the Cerami condition to study the gauged nonlinear Schrödinger equation with a perturbation in R2. Under some appropriate conditions, we obtain the existence of infinitely many high energy solutions for the equation.