We consider critical and supercritical Liouville equations on surfaces and on domains of \mathbb{R}^2 under Dirichlet boundary conditions. Using some tools of the "critical point theory at Infinity" o...

We propose an explicit finite volume numerical scheme for a system of partial differential equations proposed in by K. P. Hadeler and C. Kuttler, a model for growing sandpiles under a vertical source ...

In order to understand self-organized aggregation of German cockroaches which possess aggregation pheromone, we propose an individual-based model where each individual with social interaction moves by...

The talk is concerned with the analysis of a new variational model to restore point-like and curve-like singularities in biological or biomedical images. To this aim we investigate the variational pro...

We discuss issues concerning the numerical approximation of optimal control problems where the dynamics are governed by partial differential equations. We focus on the linear quadratic case with infin...

Abstract: The classical (that is, geometric) model of capillarity accounts for many of the equilibrium shapes we commonly observe in liquid drops. In fact, even more complicated phenomena such as supe...

La nozione di sistema di controllo ibrido è stata proposta in tempi relativamente recenti per dare un quadro unificato a molti sistemi di controllo di forte interesse applicativo, caratterizzati dal f...

Una recente teoria KAM debole di Evans permette un confronto asintotico fra dinamiche quasi-periodiche e i moti di sistemi hamiltoniani, senza restrizioni di tipo algebrico sulle frequenze. La teoria ...

We will present a relatively new approach to differential inclusion theory that is "parametrization-free". That is, results in control theory will be described under assumptions on the Hamiltonian (an...

The talk is divided into two parts. In the first, introductory part the (generalized) Nash equilibrium problem is presented and an overview of recent results related to their numerical solution is dis...

Abstract: As we learnt from Young and Laplace, the cohesion of fluids makes them choose specific shapes, in particular spheres at a small scale. We discuss several ways to maintain this ideal shape on...

We introduce and study the evolution by horizontal mean curvature flow in Carnot-Carathe'odory spaces. The main difficulty occurs because of the existence of characteristic points, which are points wh...