Cylindrical symmetry of extremals of a Hardy-Sobolev inequality (Q2505608)
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| English | Cylindrical symmetry of extremals of a Hardy-Sobolev inequality |
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Cylindrical symmetry of extremals of a Hardy-Sobolev inequality (English)
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27 September 2006
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The authors analyze a Hardy-Sobolev inequality introduced by \textit{M. Badiale} and \textit{G. Tarantello} [Arch. Ration. Mech. Anal. 163, No. 4, 259--293 (2002; Zbl 1010.35041)], and they show that the extremal functions for which the inequality is optimal satisfy certain symmetry properties.
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Hardy-Sobolev type integral inequality
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