Multiplicity of Solutions for Discrete 2n-TH Order Periodic Boundary Value Problem with φp-Laplacian-Reference-Cited by-同舟云学术

Multiplicity of Solutions for Discrete 2n-TH Order Periodic Boundary Value Problem with φp-Laplacian

Published:2024-02-29 Issue:3 Volume:13 Page:163
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Zuo Jiabin¹^ORCID,Hammouti Omar²,Taarabti Said³

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

2. Laboratory LAMA, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, B.P. 1796 Fès-Atlas, Fez 30000, Morocco

3. LISTI, National School of Applied Sciences of Agadir, Ibn Zohr University, Agadir 80000, Morocco

Abstract

The purpose of this paper is to investigate the existence and multiplicity of nontrivial solutions with the φp-Laplacian for the discrete 2n-th order periodic boundary value issue. To support these conclusions, we have employed variational techniques and contemporary critical point theory. A few new findings are expanded upon and enhanced. We give an example to show how our key findings can be applied.

Funder

Guangdong Basic and Applied Basic Research Foundation

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/3/163/pdf

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