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Buckley, Stephen M. and Koskela, P. (1995) Sobolev-Poincaré implies John. Mathematical Research Letters (MRL), 2 (5). pp. 577-594. ISSN 1073-2780
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Official URL: http://math.ucsd.edu/~mrl/TOC/vol2/v25toc.pdf
Abstract
We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a geometric characterisation for the validity of this inequality for simply connected plane domains.
| Item Type: | Article |
|---|---|
| Keywords: | Sobolev-Poincaré; John domains; Bojarski's theorem; Monotone Convergence Theorem. |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1628 |
| Depositing User: | Prof. Stephen Buckley |
| Date Deposited: | 03 Nov 2009 09:58 |
| Journal or Publication Title: | Mathematical Research Letters (MRL) |
| Publisher: | International Press |
| Refereed: | Yes |
| Funders: | NSF Grant DMS-9207715., NSF Grant DMS-9305742, Academy of Finland |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/1628 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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