Existence and uniqueness of solutions for nonlocal p-Laplacian problems

Behrouz, Emamizadeh; Amin, Farjudian

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.

Citation

Behrouz, E., & Amin, F. (2016). Existence and uniqueness of solutions for nonlocal p-Laplacian problems. Electronic Journal of Differential Equations, 2016(274),

• Journal Article Type: Article
• Acceptance Date: Jun 1, 2016
• Publication Date: Oct 12, 2016
• Deposit Date: Oct 26, 2017
• Publicly Available Date: Oct 26, 2017
• Journal: Electronic Journal of Differential Equations
• Print ISSN: 1072-6691
• Electronic ISSN: 1550-6150
• Publisher: Texas State University, Department of Mathematics
• Peer Reviewed: Peer Reviewed
• Volume: 2016
• Issue: 274
• Keywords: Nonlocal problems; existence; uniqueness; Schaefer's fixed point theorem
• Public URL: https://nottingham-repository.worktribe.com/output/823747
• Publisher URL: https://ejde.math.txstate.edu/Volumes/2016/274/emmamizadeh.pdf
• Contract Date: Oct 26, 2017