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.
Submitted June 12, 2016. Published October 12, 2016.
Math Subject Classifications: 35D05, 35J20, 35J92.
Key Words: Nonlocal problems; existence; uniqueness;
Schaefer's fixed point theorem.
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Behrouz Emamizadeh School of Mathematical Sciences The University of Nottingham Ningbo Ningbo, 315100, China email: Behrouz.Emamizadeh@nottingham.edu.cn | |
Amin Farjudian Center for Research on Embedded Systems Halmstad University, Halmstad, Sweden email: Amin.Farjudian@gmail.com |
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