Calculus of Variations and Geometric Measure Theory
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H. M. Nguyen - M. Squassina

On Hardy and Caffarelli-Kohn-Nirenberg inequalities

created by squassina on 02 Oct 2019

[BibTeX]

Published Paper

Inserted: 2 oct 2019
Last Updated: 2 oct 2019

Journal: Journal d'Analyse Mathématique
Year: 2019

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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