Top-level heading

Torsion obstructions to positive scalar curvature

In 1998, Thomas Schick discovered a purely homological obstruction to the existence of positive scalar curvature metrics on oriented closed smooth manifolds in terms of torality properties of their fu...

Compactness of Palais-Smale sequences with controlled Morse Index for a Liouville type functional

We will prove that Palais-Smale sequences for Liouville type functionals on closed surfaces are precompact whenever they satisfy a bound on their Morse index. As a byproduct, we will obtain a new proo...

Normal form and dynamics of the Kirchhoff equation

Abstract: In this talk I will present some recent results on the Kirchhoff equation of nonlinear elasticity, describing transversal oscillations of strings and plates, with periodic boundary condition...

Normal form and dynamics of the Kirchhoff equation

In this talk I will present some recent results on the Kirchhoff equation of nonlinear elasticity, describing transversal oscillations of strings and plates, with periodic boundary conditions. We are...

Microscopic and macroscopic models for pedestrian flow with variable maximal density

In this paper we deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events. We will present two models: the first one...

Courant's nodal domain theorem and Steklov eigenfunctions

The classical Courant's nodal domain theorem states that the n-th eigenfunction of the Laplacian on a compact manifold has at most n nodal domains. The same holds for Steklov eigenfunctions on a compa...