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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

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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.
Subjects: Science & Engineering > Mathematics & 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

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