Multiplicity of positive solutions for a class of critical Sobolev exponent problems involving Kirchhoff-type nonlocal term

We study a class of critical Sobolev exponent problems involving Kirchhoff-type nonlocal term −a+b∫Ω|∇u|2dxΔu=u5+g(x,u)+λuq−1,x∈Ω,u=0,x∈∂Ω,where Ω⊂R3 is a bounded domain, a,b,λ>0,1