文摘
In the paper, we study a class of biharmonic equations with pp-Laplacian and singular sign-changing potential as follows: Δ2u−βΔpu+Vλ(x)u=0 in RN,u∈H2(RN),where N≥5N≥5, β<0β<0, Δpu=div(|∇u|p−2∇u)Δpu=div(|∇u|p−2∇u) with p≥2p≥2 and Vλ(x)=λa(x)−b(x)Vλ(x)=λa(x)−b(x) with λ>0λ>0. Under some suitable assumptions on aa and bb, we obtain the existence of nontrivial solutions for λλ large enough.