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

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...

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Bibliographic Details
Published inAxioms Vol. 13; no. 3; p. 163
Main Authors Zuo, Jiabin, Hammouti, Omar, Taarabti, Said
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2024
Subjects
Boundary value problems
Critical point
critical point theory
discrete boundary value problems
Eigenvalues
variational methods
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Summary: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms13030163