Hardy's inequality in unbounded domains
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Hardy's inequality, concentration-compactness, decomposition lemmaAbstrakt
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 $$ S_\varepsilon(\Omega):= \inf_{u \in D_{\varepsilon}^{1,2}(\Omega)} \frac {\int_{\Omega}{\vert\nabla u\vert}^2{\delta^{\varepsilon}}dx} {\int_{\Omega}{\vert u\vert}^2\delta^{\varepsilon - 2}dx}. $$Pobrania
Opublikowane
2001-06-01
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1.
COLIN, Fabrice. Hardy’s inequality in unbounded domains. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2001, T. 17, nr 2, s. 277–284. [udostępniono 5.7.2024].
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