Variational Problems in Transport Theory with Mass Concentration

Preliminaries on optimal transportation.- 1. An urban planning model by local functionals.- 2. An urban planning model with traffic congestion.- 3. Transport and concentration problems with interaction.- 4. Path functionals in Wasserstein spaces.- 5. A system of PDEs from a geodesic problem in W_p.- 6. Branching transport problems and distances.- 7. Landscape function.- 8. Blow-up for optimal one-dimensional sets.- 9. Blow-up for optimal branching structures.- References.