Journal article
Reverse Hardy–Littlewood–Sobolev inequalities
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 427.5KB, Terms of use)
-
- Publisher copy:
- 10.1016/j.matpur.2019.09.001
Authors
- Publisher:
- Elsevier
- Journal:
- Journal des Mathematiques Pures et Appliquees More from this journal
- Volume:
- 132
- Issue:
- December 2019
- Pages:
- 133-165
- Publication date:
- 2019-09-10
- Acceptance date:
- 2019-04-24
- DOI:
- EISSN:
-
1776-3371
- ISSN:
-
0021-7824
- Language:
-
English
- Keywords:
- Pubs id:
-
1098161
- Local pid:
-
pubs:1098161
- Deposit date:
-
2020-04-07
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier
- Copyright date:
- 2019
- Rights statement:
- © 2019 Published by Elsevier Masson SAS. All rights reserved.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.matpur.2019.09.001
If you are the owner of this record, you can report an update to it here: Report update to this record