Existence of ground state solutions for quasilinear Schrödinger equations with super-quadratic condition

Abstract

In this paper, we study the following quasilinear Schrödinger equation −Δu+u−Δ(u2)u=h(u),x∈RN,where N≥3, 2∗=[Formula presented], h is a continuous function. By using a change of variable, we obtain the existence of ground state solutions. Unlike the condition lim|u|→∞[Formula presented]=∞ we only need to assume that lim|u|→∞[Formula presented]=∞.