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

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

2005-08-24

arxiv.org/abs/math/0508463v2

Mathematics

Analysis of PDEs

18 pages

Scientific paper

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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