Multiple Solutions For A Perturbed Nonlocal Fourth-Order Kirchhoff Type Elliptic Problems With Hardy Potential

In this note, we investigate the existence of multiple solutions for a perturbed nonlocal fourth-order equations with Hardy potential of Kirchhoff type under Navier boundary condition. We attempt the existence of multiplicity solutions for our problem under algebraic conditions on the nonlinear parts. Finally, we present an example

Keywords:

Three solutions , Kirchhoff type equation , Hardy potential , Variational methods.