| Carrillo, Jose A.; Delgadino, Matias G.; Dolbeault, Jean; Frank, Rupert L.; Hoffmann, Franca (2019): Reverse Hardy-Littlewood-Sobolev inequalities. In: Journal De Mathematiques Pures et Appliquees, Vol. 132: pp. 133-165 |
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Abstract
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.
| Item Type: | Journal article |
|---|---|
| Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
| Subjects: | 500 Science > 510 Mathematics |
| ISSN: | 0021-7824 |
| Language: | English |
| ID Code: | 82344 |
| Deposited On: | 15. Dec 2021 15:01 |
| Last Modified: | 15. Dec 2021 15:01 |
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