Three solutions for discrete anisotropic Kirchhoff-type problems-Reference-Cited by-同舟云学术

Three solutions for discrete anisotropic Kirchhoff-type problems

Published:2023-01-01 Issue:1 Volume:56 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Bohner Martin¹,Caristi Giuseppe²,Ghobadi Ahmad³,Heidarkhani Shapour³

Affiliation:

1. Department of Mathematics and Statistics, Missouri S&T , Rolla , MO 65409 , USA

2. Department of Economics, University of Messina , Messina , Italy

3. Department of Mathematics, Razi University, Faculty of Sciences , 67149 Kermanshah , Iran

Abstract

Abstract In this article, using critical point theory and variational methods, we investigate the existence of at least three solutions for a class of double eigenvalue discrete anisotropic Kirchhoff-type problems. An example is presented to demonstrate the applicability of our main theoretical findings.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0209/pdf

Reference29 articles.

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3. A. Arosio and S. Panizzi, On the well-posedness of the Kirchhoff string, Trans. Amer. Math. Soc. 348 (1996), no. 1, 305–330.

4. S. Heidarkhani and A. Salari, Existence of three solutions for Kirchhoff-type three-point boundary value problems, Hacet. J. Math. Stat. 50 (2021), no. 2, 304–317.

5. G. A. Afrouzi, S. Heidarkhani, and S. Moradi, Multiple solutions for a Kirchhoff-type second-order impulsive differential equation on the half-line, Quaest. Math. 45 (2022), no. 1, 109–141.

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