Existence results for a class of nonlocal problems involving p-Laplacian

This paper is concerned with the existence of solutions to a class of p-Kirchhoff type equations with Neumann boundary data as follows: - M ∫ Ω u p d x p - 1 Δ p u = f ( x , u ) , in Ω ; u υ = 0 , on Ω . By means of a direct variational approach, we establish conditions ensuring the existence and multiplicity of solutions for the problem.