Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations

Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations

In this paper we prove the existence of infinitely many radially symmetric standing waves in equilibrium with their own electro-magnetic field. The interaction is described by means of the minimal coupling rule; on the other hand the Lagrangian density for the electro-magnetic field is the second or...

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Bibliographic Details
Main Authors: Pietro D'Avenia, Lorenzo Pisani
Format: Article
Language:English
Published: Texas State University 2002-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Nonlinear Klein-Gordon equation
solitary waves
electromagnetic field
variational methods.
Online Access:http://ejde.math.txstate.edu/Volumes/2002/26/abstr.html
Description
Summary:In this paper we prove the existence of infinitely many radially symmetric standing waves in equilibrium with their own electro-magnetic field. The interaction is described by means of the minimal coupling rule; on the other hand the Lagrangian density for the electro-magnetic field is the second order approximation of the Born-Infeld Lagrangian density.
ISSN:1072-6691

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