Solitary wave of ground state type for a nonlinear Klein-Gordon equation coupled with Born-Infeld theory in R2.

In this paper we prove the existence of nontrivial ground state solution for a nonlinear Klein-Gordon equation coupled with Born-Infeld theory in R2 involving unbounded or decaying radial potentials. The approach involves variational methods combined with a Trudinger-Moser type inequality and a symmetric criticality type result. [ABSTRACT FROM AUTHOR]