Existence and uniqueness of solutions for nonlocal p-Laplacian problems

Behrouz Emamizadeh*, Amin Farjudian

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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
Publication statusPublished - 12 Oct 2016
Externally publishedYes


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


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