Abstract: Graphene is a two-dimensional material with a unique set of properties, many of which rely on its planar two-dimensional structure. In many applications, graphene is supported on a substrate...
We discuss some recent results related to the homogeneous Dirichlet problem for the infinity Laplace equation with constant source in a bounded domain. We characterize the geometry of domains for whic...
The asymptotic decay rate and other qualitative features of solutions to parabolic equations set in noncompact domains of RN, or Riemannian manifolds, depend in general on a suitable notion of the geo...
Abstract: In recent decades the role of mathematics in then analysis of economic and financial phenomena has greatly increased.Unfortunately, the effects of such a process have not always been positiv...
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...
Abstract: Engineering, intended as the capability of producing innovation and new technology, pays an important tribute to mathematics. It is well known how the increasing computer power open th...
We discuss an epsilon-regularity result at the endpoint of connected arcs for 2-dimensional Mumford-Shah minimizers obtained in a joint work with C. De Lellis (U. Zuerich). As an outcome of our analys...
Building upon the Almgren's big regularity paper, Chang proved in the eighties that the singularities of area-minimizing integral 2-dimensional currents are isolated. His proof relies on a suitable im...
We consider the stochastic Burgers equation from a Lagrangian viewpoint. In other words, we study the dynamical behaviour of the energy minimisers which give the variational behaviour of the solution....
Abstract: The unique electronic properties of graphene have attracted a huge amount of attention since its discovery in 2004. The structural properties of such a two-dimensional lattice are less known...
Abstract: Graphene, a carbon layer packed in a 2D honeycomb lattice, has been discussed theoretically in the 1940s, tough it took sixty years to be experimentally isolate...
Abstract: The problem of an elastic rod deforming in a plane, namely the so-called ‘planar elastica’, has a long history, rooting to Jacob Bernoulli (1654-1705), Daniel Bernoulli (1700-1782), Leonhard...
