Hardy's inequality in unbounded domains
Keywords
Hardy's inequality, concentration-compactness, decomposition lemmaAbstract
The aim of this paper is to consider Hardy's inequality with weight on unbounded domains. In particular, using a decomposition lemma, we study the existence of a minimizer for $$ S_\varepsilon(\Omega):= \inf_{u \in D_{\varepsilon}^{1,2}(\Omega)} \frac {\int_{\Omega}{\vert\nabla u\vert}^2{\delta^{\varepsilon}}dx} {\int_{\Omega}{\vert u\vert}^2\delta^{\varepsilon - 2}dx}. $$Downloads
Published
2001-06-01
How to Cite
1.
COLIN, Fabrice. Hardy’s inequality in unbounded domains. Topological Methods in Nonlinear Analysis. Online. 1 June 2001. Vol. 17, no. 2, pp. 277 - 284. [Accessed 19 April 2024].
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