Infinitely many solutions of quasilinear Schrödinger equation with sign-changing potential

In this paper, we study the following quasilinear Schrödinger equation of the form−Δu+V(x)u−Δ(u2)u=g(x,u),x∈RN, where the potential V(x) is allowed to be sign-changing, and the primitive of the nonlinearity g(x,u) is of superlinear growth at infinity in u and is also allowed to be sign-changing. We obtain the existence of infinitely many nontrivial solutions by using dual approach and Mountain Pass Theorem.