Reversed Hardy Littlewood Sobolev Inequalities

Explore a lecture on reversed Hardy-Littlewood-Sobolev inequalities presented by Franca Hoffmann at the Hausdorff Center for Mathematics. Delve into a new family of inequalities involving power law kernels with positive exponents. Examine the range of admissible parameters and properties of optimal functions. Investigate the intriguing open question of concentration possibility, its analysis, and connections to free energy functionals and nonlinear diffusion equations with mean field drifts. Learn about this collaborative research conducted with José A. Carrillo, Matias G. Delgadino, Jean Dolbeault, and Rupert L. Frank as part of the Hausdorff Trimester Program on Kinetic Theory.

Franca Hoffmann: Reversed Hardy Littlewood Sobolev Inequalities