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Elsevier, Comptes Rendus Mathématique, 7(344), p. 431-436

DOI: 10.1016/j.crma.2007.01.011

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Hardy–Poincaré inequalities and applications to nonlinear diffusions

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This paper is available in a repository.

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Abstract

We systematically study weighted Poincaré type inequalities which are closely connected with Hardy type inequalities and establish the form of the optimal constants in some cases. Such inequalities are then used to relate entropy with entropy production and get intermediate asymptotics results for fast diffusion equations.