Existence of positive solutions to pp-Kirchhoff-type problem without compactness conditions

In this paper, we study the existence of positive solutions to pp-Kirchhoff-type problem equation(0.1){(a+λ(∫RN(|∇u|p+b|u|p)dx)τ)(−Δpu+b|u|p−2u)=|u|m−2u+μ|u|q−2u,x∈RNu(x)>0,x∈RN,u(x)∈W1,p(RN), where a,b>0,τ,λ≥0,μ∈R,1