On the Hardy-Poincar\'e inequality with boundary singularities
classification
🧮 math.AP
keywords
boundaryhardy-poincarinequalityboundedconditionsdomainexistencefunction
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Let $\O$ be a smooth bounded domain in $\R^N$ with $N\ge 1$. In this paper we study the Hardy-Poincar\'e inequality with weight function singular at the boundary of $\O$. In particular we provide sufficient and necessary conditions on the existence of minimizers.
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