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

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.
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http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8663633
FALL M., M; Musina, Roberta
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/32952
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