Geodesic
Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations
Electronic journal of differential equations, Tome 2002 (2002)
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__a91,
     author = {d'Avenia,  Pietro and Pisani,  Lorenzo},
     title = {Nonlinear {Klein-Gordon} equations coupled with {Born-Infeld} type equations},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {0993.35083},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a91/}
}
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%A Pisani,  Lorenzo
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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__a91/