When we look at a differential equation in a very irregular
media (composite material, mixed solutions, etc.) from very close,
we may see a very complicated problem. However, if we look from far
away we may not see the details and the problem may...
In these lectures we will describe the relationship between
optimal transportation and nonlinear elliptic PDE of Monge-Ampere
type, focusing on recent advances in characterizing costs and
domains for which the Monge...
After recalling the definition of Q-curvature and some
applications, we will address the question of prescribing it
through a conformal deformation of the metric. We will address some
compactness issues, treated via...
