La teoria delle distribuzioni ci fornisce la nozione di soluzione generalizzata per problemi che non hanno soluzioni classiche. Comunque ci sono problemi che non hanno soluzione neppure nello spazio d...
I will deal with the asymptotic behavior of the s-Perimeter as s goes to 0, providing an explicit formulation in terms of the Lebesgue measure. Moreover, I will construct some examples of sets for whi...
This lecture deals with the following problem, let us call it (P): \begin{equation} \left\{ \begin{array}{ll} \displaystyle - {\rm div} \left(\frac{Du}{\vert Du \vert} \right) + \vert Du \vert = f\,, ...
I will discuss some results on the existence and stability of traveling wave solutions for the forced mean curvature flow. I will present also some related results on homogenization of mean curvature ...
In questo seminario discuteremo il problema isoperimetrico su \mathbb{R}^N dotato di una densità; in altre parole, ci si preoccupa di minimizzare il perimetro a volume fissato, considerando però perim...
Mostriamo che i risultati sull'omogeneizzazione periodica di equazioni di Hamilton-Jacobi possono essere generalizzati sostituendo il toro con una qualsiasi varieta' compatta. Un tale approccio consen...
Given a Tonelli Hamiltonian on a compact manifold, we can construct a compact invariant subset of the cotangent bundle enjoying variational properties which has the distinguished property of being a L...
We will discuss recent works with Duyckaerts and Merle, dealing with global well posedness, blow-up and soliton resolution, for the energy critical wave equation....
Baouendi-Grushin operators are important classes of degenerate elliptic operators which are strongly connected with other domains of mathematics such as subriemannian geometry. Parabolic problems asso...
We present short time existence, uniqueness, and regularity results for a surface diffusion evolution equation with curvature regularization in the context of epitaxially strained two-dimensional film...
