Existence of positive solutions for the nonlinear Kirchhoff type equations in Rn

In this paper, we consider the following nonlinear problem of Kirchhoff type:{−(a+λ∫Rn|∇u|2dx)Δu+V(x)u=|u|p−1u,x∈Rn,u∈H1(Rn),u>0, where n≥3, a, λ are positive constants, 10 small.