Perturbed fourth-order Kirchhoff-type problems

S. Heidarkhani, S. Moradi, G. Caristi, B. Ge

We establish the existence of at least three distinct weak solutions for a perturbed nonlocal fourth-order Kirchhoff-type problem with Navier boundary conditions under appropriate hypotheses on nonlinear terms. Our main tools are based on variational methods and some critical points theorems. We give some examples to illustrate the obtained results. 

Tbilisi Mathematical Journal, Vol. 11(4) (2018), 113-143