Perturbed nonlocal fourth order equations of Kirchhoff type with Navier boundary conditions

Abstract We investigate the existence of multiple solutions for perturbed nonlocal fourth-order equations of Kirchhoff type under Navier boundary conditions. We give some new criteria for guaranteeing that the perturbed fourth-order equations of Kirchhoff type have at least three weak solutions by using a variational method and some critical point theorems due to Ricceri. We extend and improve some recent results. Finally, by presenting two examples, we ensure the applicability of our results

Kirchhoff-type problems on a geodesic ball of the hyperbolic space

In this paper we study the existence of (weak) solutions for some Kirchhoff-type problems on the Hyperbolic space by using variational methods

Some remarks on a recent critical point result of nonsmooth analysis

The aim of this paper is to investigate some consequences of a nonsmooth version, established in [13], of Ghoussoub’s general min-max principle [8, Theorem 1]. An application to a class of elliptic variational-hemivariational inequalities is also pointed out.<br /