We will introduce the concept of the principal eigenvalue for fully nonlinear operators not in divergence form. In particular, we shall see that the principal eigenvalue can be defined through a max-m...
SEMINARIO DEI DOTTORANDI We consider a class of fully nonlinear, autonomous and reversible Schrödinger equations on the circle and we prove the existence and the stability of Cantor families of (small...
Proponiamo uno schema semi-lagrangiano accoppiato a tecniche di interpolazione con Basi Radiali, per approssimare un modello di flusso a curvatura media di tipo level-set, proposto da Zhao et al. (200...
In this lecture we consider a singularly perturbed semilinear elliptic problem with power non-linearity in Annular Domains in R2n and show the existence of two orthogonal Sn−1 concentrating solution...
I will describe the profile of optimal solutions of the martingale counterpart of the Monge mass transport problem. These are one-step martingales that maximize or minimize the expected value of the m...
Abstract: Today’s 3D printers are likely to revolutionize personal fabrication, with their hardware improving everyday and their cost getting lower. In this walk, I will present my work in using 3D pr...
We study the Chen-Lubensky free energy functional to understand the zigzag pattern formed in a smectic A liquid crystal in the presence of an applied magnetic field. We identify a small dimensionless ...
The Kolmogorov 1941 theory (K41) is, in a way, the starting point for all models of turbulence. In particular, K41 and corrections to it provide estimates of small-scale quantities such as increments ...
We examine atypical current fluctuations in totally asymmetric zero-range processes in one dimension with periodic boundary conditions. The zero-range processes is a stochastic lattice gas in which ea...
