The Nehari manifold of biharmonic equations with p-Laplacian and singular potential

In this paper, we investigate a class of biharmonic equations with p-Laplacian and singular potential as follows: Δ2u+Vλ(x)u+div(ρx|∇u|p−2∇u)=0inRN,u∈H2(RN),where N≥3,10. Under some suitable assumptions on a,b and ρ, by using the Nehari manifold, we obtain the existence of nontrivial solutions for λ large enough which improves the existing result in the literature.