Reverse Hardy-Littlewood-Sobolev inequalities
Résumé
This paper is devoted to a new family of reverse Hardy-Littlewood-Sobolev inequalities which involve a power law kernel with positive exponent. We investigate the range of the admissible parameters and the properties of the optimal functions. A striking open question is the possibility of concentration which is analyzed and related with free energy functionals and nonlinear diffusion equations involving mean field drifts.
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|