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

In this paper, we study the following quasilinear Schrödinger equation of the form − Δ u + V ( x ) u − Δ ( u 2 ) u = g ( x , u ) , x ∈ R N , 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.