Refined geometric L^p Hardy inequalities

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For a bounded convex domain Ωin R^N we prove refined Hardy inequalities that involve the Hardy potential corresponding to the distance to the boundary of Ω, the volume of $Ω$, as well as a finite number of sharp logarithmic corrections. We also discuss the best constant of these inequalities.
11 pages, to appear in Commun. Contemp. Math

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Analysis of PDEs, Spectral Theory, 35J20 (Primary) 35P20, 35P99, 26D10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/66637

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302330
 http://arxiv.org/abs/math/0302330

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arXiv