On a quasilinear Schrödinger–Kirchhoff-type equation with radial potentials

In this paper, a quasilinear Schrödinger–Kirchhoff-type equation with radial potentials is investigated. By analytic techniques, the Mountain Pass Theorem and the symmetric Mountain Pass Theorem, we get existence of nontrivial solutions for problem equation(0.1){−(a+b∫RN|∇u|pdx)p−1Δpu+V(|x|)|u|p−2u=Q(|x|)f(u),inRN,u→0as|x|→∞.