On existence of minimizers for the Hardy-Sobolev-Maz'ya inequality

arxiv: math/0508463 · v2 · submitted 2005-08-24 · 🧮 math.AP

Achilles Tertikas , Kyril Tintarev This is my paper

classification 🧮 math.AP

keywords existencehardy-sobolev-mazinequalityminimizerssetminus

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We show existence of minimizers for the Hardy-Sobolev-Maz'ya inequality in $R^{m+n}\setminus\R^n$ for $m=1$ and $n>2$ or for $m>2$ and $n>0$.

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