A Higher Order Nonresonant p ‐Laplacian Boundary Value Problem on an Unbounded Domain

In this article, we prove the existence of at least one solution to the nonresonant higher‐order p ‐Laplacian boundary value problem of the form: with the nonresonant condition . We employ the Leray–Schauder continuation principle and some apriori estimates to obtain our result. MSC2010 Classificati...

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Bibliographic Details
Published inAbstract and applied analysis Vol. 2025; no. 1
Main Authors Iyase, S. A., Imaga, O. F.
Format Journal Article
LanguageEnglish
Published New York John Wiley & Sons, Inc 01.01.2025
Wiley
Subjects
Banach spaces
Boundary value problems
Electronic periodicals
Theorems
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Summary:In this article, we prove the existence of at least one solution to the nonresonant higher‐order p ‐Laplacian boundary value problem of the form: with the nonresonant condition . We employ the Leray–Schauder continuation principle and some apriori estimates to obtain our result. MSC2010 Classification: 34B10, 34B15
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1085-3375
1687-0409
DOI:10.1155/aaa/9932318