Existence of infinitely many large solutions for the nonlinear Schrödinger–Maxwell equations

In this paper, we study the nonlinear stationary Schrödinger–Maxwell equations equation(∗){−Δu+V(x)u+ϕu=f(x,u),in R3,−Δϕ=u2,in R3. Using the variant fountain theorem introduced by Zou [W. Zou, Variant fountain theorems and their applications, Manuscripta Math. 104 (2001) 343–358], under certain assumptions on VV and ff, we get infinitely many large solutions for (∗).