Ground state solutions for the nonlinear problem involving exponential form of Born-Infeld-like

In this paper, we investigate dynamical properties in framework of a quasilinear problem in N-dimensional space descended from the Born-Infeld-like nonlinear electromagnetic fields. We establish the existence of the radial ground state solutions of the quasilinear problem involving exponential model based on Born-Infeld theory via dynamical shooting method and some new methods. Our results open up an intriguing perspective for research of other nonlinear systems in Born-Infeld theory including nonlinear arcsin-electromagnetic field, power-law electromagnetic field and so on.