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

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

Jiafa Xu
, Jie Liu
, Donal O’Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

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.

Original language	English
Pages (from-to)	626-641
Number of pages	16
Journal	Nonlinear Analysis: Modelling and Control
Volume	26
Issue number	4
DOIs	https://doi.org/10.15388/namc.2021.26.22496
Publication status	Published - 1 Jul 2021

Keywords

Fountain theorem
Gauged schrödinger equation
Infinitely many solutions

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10.15388/namc.2021.26.22496

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title = "Infinitely many solutions for a gauged nonlinear Schr{\"o}dinger equation with a perturbation",

abstract = "In this paper, we use the Fountain theorem under the Cerami condition to study the gauged nonlinear Schr{\"o}dinger equation with a perturbation in R2. Under some appropriate conditions, we obtain the existence of infinitely many high energy solutions for the equation.",

keywords = "Fountain theorem, Gauged schr{\"o}dinger equation, Infinitely many solutions",

author = "Jiafa Xu and Jie Liu and Donal O{\textquoteright}Regan",

note = "Publisher Copyright: {\textcopyright} 2021 Authors.",

year = "2021",

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AU - Liu, Jie

AU - O’Regan, Donal

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AB - 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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KW - Gauged schrödinger equation

KW - Infinitely many solutions

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DO - 10.15388/namc.2021.26.22496

M3 - Article

AN - SCOPUS:85110883865

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JO - Nonlinear Analysis: Modelling and Control

JF - Nonlinear Analysis: Modelling and Control

IS - 4

ER -

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

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Keywords

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