PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS
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.