Article ID Journal Published Year Pages File Type
843405 Nonlinear Analysis: Theory, Methods & Applications 2009 8 Pages PDF
Abstract

We obtain the sharp constant for the Hardy-Sobolev inequality involving the distance to the origin. This inequality is equivalent to a limiting Caffarelli–Kohn–Nirenberg inequality. In three dimensions, in certain cases the sharp constant coincides with the best Sobolev constant.

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Physical Sciences and Engineering Engineering Engineering (General)
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On the best constant of Hardy–Sobolev inequalities
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