Open AccessSobolev Inequalities on Sets with Irregular Boundaries
Author(s) -
Tero Kilpeläinen,
Jan Malý
Publication year - 2000
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/956
Subject(s) - inequality , sobolev inequality , sobolev space , mathematics , pure mathematics , mathematical analysis
We derive (weighted) Sobolev-Poincaré inequalities for s-John domains and s-cusp domains, both with optimal exponents. These results are obtained as consequences of a more comprehensive criterion.
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