Geodesic
Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 58E15, 35J50, 35Q40, 35Q60
Keywords: nonlinear Klein-Gordon equation, solitary waves, electromagnetic field, variational methods 
@article{EJDE_2002__2002__a291,
     author = {d'Avenia, Pietro and Pisani, Lorenzo},
     title = {Nonlinear {Klein-Gordon} equations coupled with {Born-Infeld} type equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a291/}
}
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d'Avenia, Pietro; Pisani, Lorenzo. Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations. Electronic Journal of Differential Equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a291/