  In this paper, we study a class of quasilinear elliptic equations which
appears in nonlinear optics. By using the mountain pass theorem together with a
technique of adding one dimension of space, we prove the existence of a
non-trivial weak solution for general nonlinear terms of Berestycki-Lions'
type. The existence of a radial ground state solution and a ground state
solution is also established under stronger assumptions on the quasilinear
term.
