Buckley, Stephen M. and O'Shea, Julann
Weighted Trudinger-type inequalities.
Indiana University Mathematics Journal, 48.
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.
||Preprint version of published article.
||Trudinger-type; Euclidean ball; Young functions; QHBC
domains; Orlicz function;
||Science & Engineering > Mathematics
Prof. Stephen Buckley
||18 Aug 2011 09:16
|Journal or Publication Title:
||Indiana University Mathematics Journal
||Department of Mathematics Indiana University
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