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In this paper, we study the  p -biharmonic equation of Kirchhoff typewhereis a positive parameter,is the  p -Laplacian operator andis the  p -biharmonic operator,  V ,  K ,  g  are nonnegative functions,  V  is vanishing at infinity in the sense thatWhen the nonlinear termsatisfies 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.

Multiple Solutions to p -Biharmonic Equations of Kirchhoff Type with Vanishing Potential