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arXiv · 1202.0033

Weighted Hardy inequality with higher dimensional singularity on the boundary

Mouhamed Moustapha Fall·Fethi Mahmoudi
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Abstract

Let $Ω$ be a smooth bounded domain in $\mahbb R^N$ with $N\ge 3$ and let $Σ_k$ be a closed smooth submanifold of $δΩ$ of dimension $1\le k\le N-2$. In this paper we study the weighted Hardy inequality with weight function singular on $Σ_k$. In particular we provide sufficient and necessary conditions for existence of minimizers.

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Mouhamed Moustapha Fall, Fethi Mahmoudi. 2012-09-28. Weighted Hardy inequality with higher dimensional singularity on the boundary. https://arxiv.org/abs/1202.0033

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