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Weighted Poincaré inequalities and Minkowski content

Published online by Cambridge University Press:  14 November 2011

D. E. Edmunds  and
R. Hurri-Syrjänen
D. E. Edmunds
Affiliation:
Mathematics Division, University of Sussex, Falmer, Brighton, East Sussex BN1 9QH, U.K.
R. Hurri-Syrjänen
Affiliation:
Department of Mathematics, University of Helsinki, Hallituskatu 15, SF-00100 Helsinki, Finland
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Abstract

Weighted Poincaré inequalities are established in any bounded domain D in ℝn (n ≧ 2), and their connection with the Minkowski content of ∂D is explored.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 4 , 1995 , pp. 817 - 825
Copyright
Copyright © Royal Society of Edinburgh 1995

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