We study the boundary behaviour of the solutions of (E) \Delta_p u+|\nabla u|^q=0 in a domain \Omega \subset \mathbb R^N, when N\geq p> q>p-1. We first recall the results obtained in the case p=...
I shall start with a quick review of the basic properties of Steiner symmetrization of sets and functions. Through some recently developed analytical techniques, I will give a characterization of the ...
La teoria dei mean-field games proposta da Lasry e Lions, e in parallelo da Huang, Caines e Malhame', a partire dal 2006, e' un modello di campo medio per dinamiche con grandi popolazioni di piccoli a...
We present some recent results concerning the homogenization of uniformly elliptic equations in nondivergence form. The equations are assumed to have coefficients which are independent at unit distanc...
Presenteremo nuovi miglioramenti della disuguaglianza di Sobolev in spazi frazionari tipo H^s in termini di norme di Morrey. Da queste si prova immediatamente esistenza di funzioni ottimali per la dis...
Given a Lipschitz vector field, the classical Cauchy-Lipschitz theory gives existence, uniqueness and regularity of the associated ODE flow. In recent years, much attention has been devoted to extensi...
I will present and discuss some results and problems about flows of metrics on Riemannian manifolds correlated to Ricci flow: - The "renormalization group" flow, truncated at the second order term. Th...
In this talk, I will present the concentration profile of various kind of symmetric solutions of some semilinear elliptic problems arising in astrophysics and in diffusion phenomena. Motivated by thes...
We study the theory of Scattering in the energy space for various nonlinear Schr?dinger equations. In dimension 3 or bigger we consider a variable coefficients equation, for a gauge invariant, defocus...
Steiner symmetrization is a very useful tool in the study of isoperimetric inequality. This is also due to the fact that the perimeter of a set is less or equal than the perimeter of its Steiner symme...
In questo seminario presenteremo in un'unica formulazione matematica due modelli di riflessione per la risoluzione del problema di Shape-from-Shading nel caso di superfici non Lambertiane (il modello ...
We study the domain of attraction of an asymptotically stable fixed point of the feedback interconnections of two nonlinear systems. For each subsystem we introduce an auxiliary system and assume that...
