The Hardy and Caffarelli-Kohn-Nirenberg Inequalities Revisited

Details The Hardy and Caffarelli-Kohn-Nirenberg Inequalities Revisited The Hardy and Caffarelli-Kohn-Nirenberg Inequalities Revisited

2010-07-12

arxiv.org/abs/1007.2005v1

Mathematics

Analysis of PDEs

14 pages

Scientific paper

In this paper some important inequalities are revisited. First, as
motivation, we give another proof of the Hardy's inequality applying convenient
vector fields as introduced by Mitidieri, see [6]. Then, we investigate a
particular case of the Caffarelli-Kohn-Nirenberg's inequality. Finally, we
study the Rellic's inequality.

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