Publication Date:
1 December 2019
Journal:
Journal des Mathematiques Pures et Appliquees
Last Updated:
2021-04-09T15:03:01.493+01:00
Volume:
132
DOI:
10.1016/j.matpur.2019.09.001
page:
133-165
abstract:
© 2019 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.
Symplectic id:
1098161
Submitted to ORA:
Submitted
Publication Type:
Journal Article