Infinitely many solutions for quasilinear Schrödinger equation with general superlinear nonlinearity

In this article, we study the quasilinear Schrödinger equation - (u)+V(x)u-(u^2)u=g(x,u), x∈ℝ^N, where the potential V(x) and the primitive of g(x,u) are allowed to be sign-changing. Under more general superlinear conditions on g , we obtain the existence of infinitely many nontrivial solutions by using the mountain pass theorem. Recent results in the literature are significantly improved.