Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in R3

In this paper, we first prove the uniqueness of positive ground state solution for the following Kirchhoff equation in R3 with constant coefficients{−(a+b∫R3|∇u|2)Δu+cu=d|u|p−1uinR3,u>0,u∈H1(R3), where a, b, c, d>0 are positive constants, 3