摘要
This paper is concerned with the existence of nontrivial solutions for the following fourth-order equations of Kirchhoff type {Δ^2u-（a＋b∫R^N｜▽u｜^2dx）Δu＋λv（x）u=f（x,u）,x∈R^N,u∈H^2（R^N）,where a,b are positive constants, λ≥ 1 is a parameter, and the nonlinearity f is either superlinear or sublinear at infinity in u. With the help of the variational methods, we obtain the existence and multiplicity results in the working spaces.
基金
This work was supported by the National Natural Science Foundation of China （Grant No. 11371282, 11571259）.
