32 citations · 107 across the 14 of their papers we have counts for
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math.AP2018★ 3 cited
Free Energies and the Reversed HLS Inequality
J. A. Carrillo, M. G. Delgadino
We prove reversed Hardy-Littlewood-Sobolev inequalities by carefully studying the natural associated free energies with direct methods of calculus of variations. Tightness is obtai…
math.AP2018★ 20 cited
Existence of ground states for aggregation-diffusion equations
J. A. Carrillo, M. G. Delgadino, F. S. Patacchini
We analyze free energy functionals for macroscopic models of multi-agent systems interacting via pairwise attractive forces and localized repulsion. The repulsion at the level of t…