Multiplicity of Solutions for Discrete 2<i>n</i>-TH Order Periodic Boundary Value Problem with <i>φ</i><sub>p</sub>-Laplacian

Multiplicity of Solutions for Discrete 2<i>n</i>-TH Order Periodic Boundary Value Problem with <i>φ</i><sub>p</sub>-Laplacian

The purpose of this paper is to investigate the existence and multiplicity of nontrivial solutions with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>φ</mi><mi>p</mi></...

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Bibliographic Details
Main Authors:	Jiabin Zuo, Omar Hammouti, Said Taarabti
Format:	Article
Language:	English
Published:	MDPI AG 2024-02-01
Series:	Axioms
Subjects:	discrete boundary value problems critical point theory variational methods
Online Access:	https://www.mdpi.com/2075-1680/13/3/163

Description
Summary:	The purpose of this paper is to investigate the existence and multiplicity of nontrivial solutions with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>φ</mi><mi>p</mi></msub></semantics></math></inline-formula>-Laplacian for the discrete <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2</mn><mi>n</mi></mrow></semantics></math></inline-formula>-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.
ISSN:	2075-1680