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20142026
most citedOn the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions

32 citations · 107 across the 14 of their papers we have counts for

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Showing 2018Show all

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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…