Infinitely many solutions and concentration of ground state solutions for the Klein-Gordon-Maxwell system

Liu, Xiaoqi; Tang, Chun-Lei

doi:10.1016/j.jmaa.2021.125521

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Introduction and Main Results1

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2024

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Cited by 5 publications

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“…Other related studies on the Klein-Gordon equation or Klein-Gordon-Maxwell equation can be seen in [15]- [28].…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Infinitely Many Solutions and a Ground-State Solution for Klein-Gordon Equation Coupled with Born-Infeld Theory

Huang,

Zhang

2024

JAMP

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“…Other related studies on the Klein-Gordon equation or Klein-Gordon-Maxwell equation can be seen in [15]- [28].…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Infinitely Many Solutions and a Ground-State Solution for Klein-Gordon Equation Coupled with Born-Infeld Theory

Huang,

Zhang

2024

JAMP

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Multiple solutions for nonhomogeneous Klein–Gordon–Maxwell system with Berestycki–Lions conditions

Liu

2023

Applied Mathematics Letters

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Existence of Multiple High‐Energy Solutions for a Kind of Superlinear Second‐Order Elliptic Equations

Huang,

Zhang

2024

Journal of Mathematics

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In this paper, we intend to consider infinitely many high energy solutions for a kind of superlinear Klein–Gordon–Maxwell systems. Under some suitable assumptions on the potential function and nonlinearity, by using variational methods and the method of Nehari manifold, we obtain the existence result of infinitely many high energy solutions for this kind of systems, which improves many relative results in the literature.

show abstract

Infinitely many solutions and concentration of ground state solutions for the Klein-Gordon-Maxwell system

Cited by 5 publications

References 27 publications

Infinitely Many Solutions and a Ground-State Solution for Klein-Gordon Equation Coupled with Born-Infeld Theory

Infinitely Many Solutions and a Ground-State Solution for Klein-Gordon Equation Coupled with Born-Infeld Theory

Multiple solutions for nonhomogeneous Klein–Gordon–Maxwell system with Berestycki–Lions conditions

Existence of Multiple High‐Energy Solutions for a Kind of Superlinear Second‐Order Elliptic Equations

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