On the best constant of Hardy-Sobolev Inequalities

Details On the best constant of Hardy-Sobolev Inequalities On the best constant of Hardy-Sobolev Inequalities

2009-11-04

arxiv.org/abs/0911.0948v1

Mathematics

Analysis of PDEs

Scientific paper

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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