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arXiv:0911.0948 [math.AP]AbstractReferencesReviewsResources

On the best constant of Hardy-Sobolev Inequalities

Adimurthi, Stathis Filippas, Achilles Tertikas

Published 2009-11-04Version 1

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.

Categories: math.AP, math.FA
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