Existence and uniqueness of solutions for nonlocal p-Laplacian problems

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Behrouz, Emamizadeh and Amin, Farjudian (2016) Existence and uniqueness of solutions for nonlocal p-Laplacian problems. Electronic Journal of Differential Equations, 2016 (274). pp. 1-9. ISSN 1550-6150

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Official URL: https://ejde.math.txstate.edu/Volumes/2016/274/emmamizadeh.pdf

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.

Item Type:	Article
RIS ID:	https://nottingham-repository.worktribe.com/output/823747
Keywords:	Nonlocal problems; existence; uniqueness; Schaefer's fixed point theorem
Schools/Departments:	University of Nottingham Ningbo China > Faculty of Science and Engineering > School of Mathematical Sciences
Depositing User:	LIN, Zhiren
Date Deposited:	26 Oct 2017 09:02
Last Modified:	04 May 2020 18:17
URI:	https://eprints.nottingham.ac.uk/id/eprint/47389

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