Sobolev inequalities on sets with irregular boundaries

Authors
Kilpelainen, T Maly, J
Citation
T. Kilpelainen et J. Maly, Sobolev inequalities on sets with irregular boundaries, Z ANAL ANWE, 19(2), 2000, pp. 369-380
Citations number
18
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
ISSN journal
02322064 → ACNP
Volume
19
Issue
2
Year of publication
2000
Pages
369 - 380
Database
ISI
SICI code
0232-2064(2000)19:2<369:SIOSWI>2.0.ZU;2-X
Abstract
We derive (weighted) Sobolev-Poincare inequalities for s-John domains and s -cusp domains, both with optimal exponents. These results are obtained as c onsequences of a more comprehensive criterion.