Infinitely many bound state solutions of Kirchhoff problem in R3R3

In the present paper, we consider the following Kirchhoff problem equation(KK){−(1+b∫R3|∇u|2dx)Δu+a(x)u=|u|p−2u,inR3,u∈H1(R3), where b>0b>0 and p∈(4,6)p∈(4,6). Under some suitable decay assumptions but without any symmetry property on a(x)a(x), we obtain infinitely many bound state solutions of this problem.