Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential

Vladimir Georgiev; Nicola Visciglia

doi:10.1016/j.matpur.2004.09.016

Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential

Vladimir Georgiev^*, Nicola Visciglia

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

We consider the coupled Klein-Gordon-Maxwell system. First we prove a non-existence result of solitary waves for this system, and then we show an existence result in the case that a small external Coulomb potential is introduced in the corresponding Lagrangian density.

Original language	English
Pages (from-to)	957-983
Number of pages	27
Journal	Journal des Mathematiques Pures et Appliquees
Volume	84
Issue number	7
DOIs	https://doi.org/10.1016/j.matpur.2004.09.016
Publication status	Published - 2005 Jul
Externally published	Yes

Keywords

Maxwell-Klein-Gordon equations
Nonexistence and existence results
Solitary wawes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1016/j.matpur.2004.09.016

Cite this

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title = "Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential",

abstract = "We consider the coupled Klein-Gordon-Maxwell system. First we prove a non-existence result of solitary waves for this system, and then we show an existence result in the case that a small external Coulomb potential is introduced in the corresponding Lagrangian density.",

keywords = "Maxwell-Klein-Gordon equations, Nonexistence and existence results, Solitary wawes",

author = "Vladimir Georgiev and Nicola Visciglia",

year = "2005",

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doi = "10.1016/j.matpur.2004.09.016",

language = "English",

volume = "84",

pages = "957--983",

journal = "Journal des Mathematiques Pures et Appliquees",

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T1 - Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential

AU - Georgiev, Vladimir

AU - Visciglia, Nicola

PY - 2005/7

Y1 - 2005/7

N2 - We consider the coupled Klein-Gordon-Maxwell system. First we prove a non-existence result of solitary waves for this system, and then we show an existence result in the case that a small external Coulomb potential is introduced in the corresponding Lagrangian density.

AB - We consider the coupled Klein-Gordon-Maxwell system. First we prove a non-existence result of solitary waves for this system, and then we show an existence result in the case that a small external Coulomb potential is introduced in the corresponding Lagrangian density.

KW - Maxwell-Klein-Gordon equations

KW - Nonexistence and existence results

KW - Solitary wawes

UR - http://www.scopus.com/inward/record.url?scp=20044363839&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=20044363839&partnerID=8YFLogxK

U2 - 10.1016/j.matpur.2004.09.016

DO - 10.1016/j.matpur.2004.09.016

M3 - Article

AN - SCOPUS:20044363839

SN - 0021-7824

VL - 84

SP - 957

EP - 983

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

IS - 7

ER -

Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential

Abstract

Keywords

ASJC Scopus subject areas

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