5 papers
A variational formulation of a Multi-Population Mean Field Games with non-local interactions
Luigi De Pascale, Luca Nenna
We propose a MFG model with quadratic Hamiltonian involving populations. This results in a system of Hamilton-Jacobi-Bellman and Fokker-Planck equations with non-local…
Some reverse inequality in optimal mass transportation
Luigi De Pascale, Igor Pinheiro
Controlling the Wasserstein distance by the Wasserstein distance is interesting both for theorical and numerical applications. A first paper on t…
A regularized transportation cost stemming from entropic approximation
Camilla Brizzi, Luigi De Pascale, Anna Kausamo
We study the entropic regularizations of optimal transport problems under suitable summability assumptions on the point-wise transport cost. These summability assumptions already a…
A Rockafellar Theorem for cyclically quasi-monotone maps: the regular non-vanishing case
Luigi De Pascale, Paul Pegon
We study the connection between cyclic quasi-monotonicity and quasi-convexity, focusing on whether every cyclically quasi-monotone (possibly multivalued) map is included in the nor…
Dissociation limits in Density Functional Theory
Guy Bouchitté, Giuseppe Buttazzo, Thierry Champion +1
In this paper we consider the {\it Density Functional Theory} (DFT) framework, where a functional of the form $$F_\eps(Ï)=\eps T(Ï)+bC(Ï)-U(Ï)$$ has to be minimized in the clas…