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Some recent results on Optimal Transport and Density Functional Theory, Augusto Gerolin (Bath)

We want to present some new results related to Multi-marginal Optimal Transport Theory for Coulomb and repulsive harmonic costs. In particular, we are inquiring about the existence of Monge-type solutions in the multi-marginal case. We intend to give a brief survey on the general theory and discuss some of its main issues. Most of the… Read More »

Vectorial Calculus of Variations in $L^\infty$ and generalised solutions for fully nonlinear PDE systems, Nikos Katzourakis (Reading)

Calculus of Variations in $L^\infty$ has a long history, the scalar case of which was initiated by G.Aronsson in the 1960s and is under active research ever since. Aronsson’s motivation to study this problem was related to the optimisation of Lipschitz Extensions of functions. Mathematically, minimising the supremum is very challenging because the equations are… Read More »