Multiplicity Of Nontrivial Solutions For Biharmonic Equations With P-Laplacian In R~N

In this paper,we mainly study a class of biharmonic equations with p-LaplacianwhereN≥1，β∈R,λ>0 is a parameter,Δ_pu=div(|?u|^p-2?u)withp≥2,V∈C（R^N）.We obtain the existence of two solutions of the problem asλ→+∞by establishing the mutual restriction between β,p and f.The proof is mainly obtained by using the Mountain Pass theorem and Ekeland variational principle on the basis of Gagliardo-Nirenberg inequality.