Existence and uniqueness of solutions for nonlocal p-Laplacian problems

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Abstract

We study the existence and uniqueness of positive solutions to a class of nonlocal boundary-value problems involving the p-Laplacian. Our main tools are a variant of the Schaefer’s fixed point theorem, an inequality which suitably handles the p-Laplacian operator, and a Sobolev embedding which is applicable to the bounded domain.

Original languageEnglish
Article number274
JournalElectronic Journal of Differential Equations
Volume2016
Publication statusPublished - 12 Oct 2016

Keywords

  • Existence
  • Nonlocal problems
  • Schaefer’s fixed point theorem
  • Uniqueness

ASJC Scopus subject areas

  • Analysis

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