## Tbilisi Mathematical Journal

### Perturbed fourth-order Kirchho-type problems

#### Abstract

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.

#### Article information

Source
Tbilisi Math. J., Volume 11, Issue 4 (2018), 113-143.

Dates
Accepted: 21 September 2018
First available in Project Euclid: 4 January 2019

https://projecteuclid.org/euclid.tbilisi/1546570890

Digital Object Identifier
doi:10.32513/tbilisi/1546570890

Mathematical Reviews number (MathSciNet)
MR3954212

#### Citation

Heidarkhani, Shapour; Moradi, Shahin; Caristi, Giuseppe; Ge, Bin. Perturbed fourth-order Kirchho-type problems. Tbilisi Math. J. 11 (2018), no. 4, 113--143. doi:10.32513/tbilisi/1546570890. https://projecteuclid.org/euclid.tbilisi/1546570890

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