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

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  • S. A. Iyase
  • O. F. Imaga

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:  σrφpun−1r′+gr,ur,u′r,…,un−1r=0,r∈0,∞,  ui0=0, i=0,1,2,…,n-2, limr→∞σrφpun-1r=∑j=1nβjσηjφpun−1ηjwith the nonresonant condition ∑j=1nβj≠1. We employ the Leray–Schauder continuation principle and some apriori estimates to obtain our result.MSC2010 Classification: 34B10, 34B15

Suggested Citation

  • S. A. Iyase & O. F. Imaga, 2025. "A Higher Order Nonresonant p-Laplacian Boundary Value Problem on an Unbounded Domain," Abstract and Applied Analysis, Hindawi, vol. 2025, pages 1-8, March.
    • Handle: RePEc:hin:jnlaaa:9932318
    DOI: 10.1155/aaa/9932318
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