Infinitely many radial and non-radial solutions to a quasilinear Schrödinger equation

In this paper, we are concerned with the following quasilinear Schrödinger equation−Δu−uΔ(∣u∣2)+V(∣x∣)u=f(∣x∣,u),x∈RN. By using a change of variables, we obtained the existence of a sequence of radial solutions for N≥2N≥2, a sequence of nonradial solutions for N=4N=4 or N≥6N≥6, and a nonradial solution for N=5N=5.