In this article, we present some results on the existence of positive and ground state solutions for the nonlinear Klein-Gordon-Maxwell equations. We introduce a general nonlinearity with subcritical and supercritical growth which does not require the usual Ambrosetti-Rabinowitz condition. The proof is based on variational methods and perturbation arguments.
"Subcritical and supercritical Klein-Gordon-Maxwell equations without Ambrosetti-Rabinowitz condition." Differential Integral Equations 27 (3/4) 387 - 399, March/April 2014.