Missing terms in Hardy-Sobolev inequalities (Q1769625)

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scientific article; zbMATH DE number 2151802
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Missing terms in Hardy-Sobolev inequalities
scientific article; zbMATH DE number 2151802

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    Missing terms in Hardy-Sobolev inequalities (English)
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    4 April 2005
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    The aim of this paper is to achieve an optimal improvement of Hardy-Sobolev inequality, by adding a second term involving the singular weight \((\log(1/\left| x\right| ))^{-2}\), in the sense that the improved inequality holds for this weight but fails for any weight more singular than this one.
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    Hardy-Sobolev inequality
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    eigenvalue
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