Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation

Jiafa Xu; Jie Liu; Donal O'Regan

doi:10.15388/namc.2021.26.22496

Articles

Jiafa Xu

Chongqing Normal University

https://orcid.org/0000-0001-6537-4167

Jie Liu

Henan Polytechnic University

https://orcid.org/0000-0001-7452-9802

Donal O'Regan

National University of Ireland

Published 2021-07-01

https://doi.org/10.15388/namc.2021.26.22496

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Keywords

gauged Schrödinger equation
infinitely many solutions
Fountain theorem

How to Cite

Xu, J., Liu, J. and O'Regan, D. (2021) “Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation”, Nonlinear Analysis: Modelling and Control, 26(4), pp. 626–641. doi:10.15388/namc.2021.26.22496.

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Abstract

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.

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