The Hardy and Caffarelli-Kohn-Nirenberg Inequalities Revisited

2010/07/12 by Bazan, Aldo, Neves, Wladimir
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1007.2005

Abstract

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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