On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Published 19 Jan 2018 in math.CA and math.FA | (1801.06329v1)

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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