2 papers
math.AP2026
Absence of non-compactly supported minimisers for the Lieb-Oxford bound
Simone Di Marino, Rodrigue Lelotte
We prove the minimisers of the Lieb-Oxford bound (if any) for a fixed (and finite) number of particles are necessarily compactly supported, extending a result proved by…
math.OC2026
A land of monotone plenty, bis repetita: from classical to weak optimal transport
Virginie Ehrlacher, Rodrigue Lelotte, Luca Nenna
The celebrated c-cyclical monotonicity property is shown to boil down to the zeroth-order optimality condition for the optimal transport problem. More precisely, we show that optim…