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Hardy's inequality on exterior domains

Authors:	J Chabrowski M Willem

Institution:	Department of Mathematics, University of Queensland, St. Lucia 4072, Queensland, Australia M. Willem ; Institut de Mathématique Pure et Appliquée, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium

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 inequality is valid on $\mathcal {D}^{1,p}_{0}(\Omega)$ .

Keywords:	Hardy's inequality exterior domains concentration at infinity concentration at boundary

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