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arXiv · 1801.06329

On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Hoai-Minh Nguyen·Marco Squassina
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Abstract

We establish improved versions of the Hardy and Caffarelli-Kohn-Nirenberg inequalities by replacing the standard Dirichlet energy with some nonlocal nonconvex functionals which have been involved in estimates for the topological degree of continuous maps from a sphere into itself and characterizations of Sobolev spaces.

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Hoai-Minh Nguyen, Marco Squassina. 2018-01-19. On Hardy and Caffarelli-Kohn-Nirenberg inequalities. https://arxiv.org/abs/1801.06329

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