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

作者：Heidarkhani Shapour^*; Salari Amjad; Caristi Giuseppe; Barilla David

来源：Boundary Value Problems, 2017, 2017(1): 86.

DOI：10.1186/s13661-017-0817-6

• three solutions
• Kirchhoff-type equation
• perturbed fourth-order boundary value problem
• variational methods
• critical point theory

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.

• 出版日期2017-6-6