A Higher Order Nonresonant <i>p</i> ‐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 Classification: 34B10, 34B15

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Journal
Abstract and Applied Analysis
Published
2025-01-01
DOI
https://doi.org/10.1155/aaa/9932318
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00

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article

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

O. F. Imaga, S. A. Iyase
Abstract and Applied Analysis
Differential Equations and Boundary Problems
article

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

O. F. Imaga, S. A. Iyase
article en

Abstract

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

Abstract and Applied AnalysisVol. 2025(1)
Covenant University (NG)
Covenant University
Openalex Percentile: Top 93%
Differential Equations and Boundary Problems
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