Existence results of positive solutions of Kirchhoff type problems

In the present paper, we use variational methods to prove two existence results of positive solutions of the following Kirchhoff type problems {−(a+b∫Ω|∇u|2)Δu=f(x,u),in Ω;u=0,on ∂Ω. One deals with the asymptotic behaviors of ff near zero and infinity and the other deals with 4-superlinear of ff at infinity.