Electronic Journal of Qualitative Theory of Differential Equations (Feb 2020)
Solitary wave of ground state type for a nonlinear Klein–Gordon equation coupled with Born–Infeld theory in $\mathbb{R}^{2}$
Abstract
In this paper we prove the existence of nontrivial ground state solution for a nonlinear Klein–Gordon equation coupled with Born–Infeld theory in $\mathbb{R}^{2}$ involving unbounded or decaying radial potentials. The approach involves variational methods combined with a Trudinger–Moser type inequality and a symmetric criticality type result.
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