Existence of positive solutions for a class of quasilinear Schrödinger equations on RNRN

In this paper, we study the following quasilinear Schrödinger equation of the form −△u+V(x)u−12△(u2)u=α|u|p−1u+β|u|q−1u,x∈RN, where N≥3N≥3, 2+2N≤q