existence of infinitely many solutions for coupled system of schrödinger-maxwell's equations

In this paper we study the existence of infinitely many large energy solutions for the coupled system of schrodinger-maxwell’s equations { −∆u + v (x)u + φu = hv(x, u, v) in r ³ −∆φ = u ² in r ³ −∆v + v (x)v + ψv = hu(x, u, v) in r ³ −∆ψ = v ² in r ³ , via the fountain theorem under cerami condition. more precisely, we consider the more general case and weaken v ∗ 1 with respect to the condition v1 in [6].