On the Hardy-Poincaré inequality with boundary singularities

preprint2011arXivOpen access

Abstract

Let ØØ be a smooth bounded domain in RN\R^N with N≥1N\ge 1. In this paper we study the Hardy-Poincaré inequality with weight function singular at the boundary of ØØ. In particular we provide sufficient and necessary conditions on the existence of minimizers.

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