Weighted Trudinger-type inequalities

Buckley, Stephen M. and O'Shea, Julann (1999) Weighted Trudinger-type inequalities. Indiana University Mathematics Journal, 48. pp. 85-114. ISSN 0022-2518

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We establish sharp inequalities of Trudinger-type (with non-standard Young functions) on general domains Ω with respect to measures ν, μ. Our results are new even when is a Euclidean ball, and ν, μ are defined in terms of powers of distance to the boundary. In the Euclidean case, sharpness results are proved for the Young functions involved and the class of domains considered. New characterizations of QHBC domains are given.

Item Type: Article
Additional Information: Preprint version of published article.
Keywords: Trudinger-type; Euclidean ball; Young functions; QHBC domains; Orlicz function;
Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 1618
Depositing User: Prof. Stephen Buckley
Date Deposited: 18 Aug 2011 09:16
Journal or Publication Title: Indiana University Mathematics Journal
Publisher: Department of Mathematics Indiana University
Refereed: Yes

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