Let Ω be a bounded domain in R^N (N≥2) such that 0 is in the boundary of Ω. In this paper we study the Hardy-Poincare' inequality for maps vanishing on ∂Ω. In particular we give sufficient and some necessary conditions so that the best constant is achieved.
Hardy-Poincaré inequalities with boundary singularities
Musina, Roberta
2012-01-01
Abstract
Let Ω be a bounded domain in R^N (N≥2) such that 0 is in the boundary of Ω. In this paper we study the Hardy-Poincare' inequality for maps vanishing on ∂Ω. In particular we give sufficient and some necessary conditions so that the best constant is achieved.File in questo prodotto:
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