Sobolev-Poincaré implies John
Buckley, S. and Koskela, P. (1995) Sobolev-Poincaré implies John. Mathematical Research Letters (MRL), 2 (5). pp. 577-594. ISSN 1073-2780 AbstractWe 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. | Keywords: | Sobolev-Poincaré; John domains; Bojarski's theorem; Monotone Convergence Theorem. |
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| Subjects: | Science & Engineering > Mathematics |
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| ID Code: | 1628 |
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| Deposited By: | Prof. Stephen Buckley |
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| Deposited On: | 03 Nov 2009 09:58 |
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| Journal or Publication Title: | Mathematical Research Letters (MRL) |
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| Publisher: | International Press |
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| Refereed: | Yes |
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| URL: | http://www.mrlonline.org/mrl/ |
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