Existence and uniqueness of solutions for nonlocal p-Laplacian problems
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...
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| Format: | Article |
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Department of Mathematics,Texas State University
2016
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| Online Access: | https://eprints.nottingham.ac.uk/47389/ |
| _version_ | 1848797533729456128 |
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| author | Behrouz, Emamizadeh Amin, Farjudian |
| author_facet | Behrouz, Emamizadeh Amin, Farjudian |
| author_sort | Behrouz, Emamizadeh |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:05:24Z |
| format | Article |
| id | nottingham-47389 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:05:24Z |
| publishDate | 2016 |
| publisher | Department of Mathematics,Texas State University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-473892020-05-04T18:17:19Z https://eprints.nottingham.ac.uk/47389/ Existence and uniqueness of solutions for nonlocal p-Laplacian problems Behrouz, Emamizadeh Amin, Farjudian 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. Department of Mathematics,Texas State University 2016-10-12 Article PeerReviewed 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 Nonlocal problems; existence; uniqueness; Schaefer's fixed point theorem https://ejde.math.txstate.edu/Volumes/2016/274/emmamizadeh.pdf |
| spellingShingle | Nonlocal problems; existence; uniqueness; Schaefer's fixed point theorem Behrouz, Emamizadeh Amin, Farjudian Existence and uniqueness of solutions for nonlocal p-Laplacian problems |
| title | Existence and uniqueness of solutions for nonlocal p-Laplacian problems |
| title_full | Existence and uniqueness of solutions for nonlocal p-Laplacian problems |
| title_fullStr | Existence and uniqueness of solutions for nonlocal p-Laplacian problems |
| title_full_unstemmed | Existence and uniqueness of solutions for nonlocal p-Laplacian problems |
| title_short | Existence and uniqueness of solutions for nonlocal p-Laplacian problems |
| title_sort | existence and uniqueness of solutions for nonlocal p-laplacian problems |
| topic | Nonlocal problems; existence; uniqueness; Schaefer's fixed point theorem |
| url | https://eprints.nottingham.ac.uk/47389/ https://eprints.nottingham.ac.uk/47389/ |