Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument

In this paper we shall show an existence result of a positive solution for a Kirchhoff problem type in a bounded domain of RNRN, that is, for the problem −M(∫Ω|∇u|2dx)Δu=λf(x,u)+|u|2∗−2uin Ω,u=0on ∂Ω. We shall study the asymptotic behavior of this solution when λλ converges to infinity. Our approach is based on the variational method, an appropriated truncated argument, and a priori estimates to obtain the solution.