Existence and multiplicity results for a p-Kirchhoff equation with a concave-convex term

The existence and multiplicity of solutions to the following p-Kirchhoff equation is considered:(0.1){−M(‖u‖p)Δpu=λh(x)|u|q−2u+H(x)|u|r−2u,inΩ,u(x)=0,on∂Ω, where Ω is a bounded domain in RN,M(s)=a+bsk,Δpu=div(|∇u|p−2∇u) is the p-Laplacian operator, and 1