Pietro d'Avenia & Lorenzo Pisani
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.
Submitted November 14, 2001. Published March 4, 2002.
Math Subject Classifications: 58E15, 35J50, 35Q40, 35Q60.
Key Words: Nonlinear Klein-Gordon equation, solitary waves, electromagnetic field, variational methods.
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Dipartimento Interuniversitario di Matematica
Universita degli Studi di Bari
Via Orabona, 4
70125 Bari Italy