  In the present work we deal with the existence of solutions for optimal
control problems associated to transport equations. The behaviour of a
population of individuals will be influenced by the presence of a population of
control agents whose role is to lead the dynamics of the individuals towards a
specific goal. The dynamics of the population of individuals is described by a
suitable nonlocal transport equation, while the role of the population of
agents is designed by the optimal control problem. This model has been first
studied in [12] for a class of continuous nonlocal potentials, while in the
present project we consider the case of mildly singular potentials in a
gradient flow formulation of the target transport equation.
