Hardy’s inequality on exterior domains
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- by J. Chabrowski and M. Willem PDF
- Proc. Amer. Math. Soc. 134 (2006), 1019-1022 Request permission
Abstract:
Let $\Omega$ be a smooth exterior domain in $\mathbb {R}^N$ and $1<p<{\infty }$. We prove that when $p\neq N$, Hardy’s $L^p$ inequality is valid on $\mathcal {D}^{1,p}_{0}(\Omega )$.References
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Additional Information
- J. Chabrowski
- Affiliation: Department of Mathematics, University of Queensland, St. Lucia 4072, Queensland, Australia
- M. Willem
- Affiliation: Institut de Mathématique Pure et Appliquée, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium
- Received by editor(s): December 24, 2003
- Received by editor(s) in revised form: July 7, 2004
- Published electronically: October 28, 2005
- Communicated by: David S. Tartakoff
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 1019-1022
- MSC (2000): Primary 49R50, 35J70
- DOI: https://doi.org/10.1090/S0002-9939-05-08407-8
- MathSciNet review: 2196033