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arXiv · 0911.0942

Optimal Hardy-Sobolev-Maz'ya inequalities with multiple interior singularities

Stathis Filippas·Achilles Tertikas·Jesper Tidblom
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Abstract

In this article we first establish a complete characterization of Hardy's inequalities in $\mathbb{R}^n$ involving distances to different codimension subspaces. In particular the corresponding potentials have strong interior singularities. We then provide necessary and sufficient conditions for the validity of Hardy-Sobolev-Maz'ya inequalities with optimal Sobolev terms.

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Stathis Filippas, Achilles Tertikas, Jesper Tidblom. 2009-11-04. Optimal Hardy-Sobolev-Maz'ya inequalities with multiple interior singularities. https://arxiv.org/abs/0911.0942

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