Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential

This paper is devoted to a class of general nonlocal fourth-order elliptic equation Δ2u−(a+b∫RN|∇u|2dx)Δu+V(x)u=f(x,u),x∈RN,where Δ2=Δ(Δ) is the biharmonic operator, a>0,b≥0 are constants and the potential V is allowed to be sign-changing. Under certain assumptions on f, infinitely many high energy solutions are established. Our results enrich that obtained in the literature.