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

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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 $n>0$.
18 pages

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Analysis of PDEs, 35J65, 35J20, 35J70

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http://salesiana.dossiersoluciones.com/handle/123456789/102189

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508463
 http://arxiv.org/abs/math/0508463

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arXiv