Abstract
In this paper, we study the p-biharmonic equation of Kirchhoff type
where
is a positive parameter,
is the p-Laplacian operator and
is the p-biharmonic operator, V, K, g are nonnegative functions, V is vanishing at infinity in the sense that
When the nonlinear term
satisfies some suitable conditions, we prove that the above problem has at least two nontrivial solutions using the mountain pass theorem combined with the Ekeland variational principle.