Consideriamo un'equazione di Liouville su superfici compatte motivata dallo studio di modelli di Chern-Simons autoduali e dal problema di prescrizione della curvatura Gaussiana con singolarità coniche...
The goal of the lecture is to present an attempt to relate in a discrete setting, on the one hand, a ground state obtained by thermodynamic formalism and, on the other hand, a solution of the discrete...
We consider extremum problems for some classical functionals of the Calculus of Variations (such as torsional rigidity, first Dirichlet eigenvalue, electrostatic capacity), subject to geometric constr...
Multilevel methods for the solution of well-posed problems, such as certain boundary value problems for partial differential equations and Fredholm integral equations of the second kind, are popular a...
In questo seminario riassumiamo lavori recenti su come localizzare punti nello spazio (2 o 3 dimensionale), dove autovalori di matrici simmetriche (Hermitiane) collassano (alternativamente, valori sin...
If \phi:R\to R is a non-convex energy density, the initial-boundary value problem for the equation (1) \begin{equation} \left\{ \begin{array}{ll} u_t+\frac{1}{2}(\phi(u_x))_x,x\in(0,1) \\ u(\cdot,0)=u...
Nella previsione e ricostruzione della balistica interna degli endoreattori a propellente solido uno degli aspetti cruciali è il calcolo della regressione della superficie del grano propellente, regre...
Equazioni alle derivate parziali su grafi hanno numerose applicazioni (per esempio modelli di traffico, circolazione del sangue, social networks, internet, etc.). In molti di questi problemi e' import...
We describe some recent work on the semiclassical limit of the linear Schrodinger equation. Under mild regularity assumptions on the potential U which include Born-Oppenheimer potential energy surface...
Given a vector homogeneous differential operator of order 1 A(D) acting on vector fields, I will answer to the question whether there is a Gagliardo--Nirenberg type estimate of the form ||u||_{L^{n/(n...
Diffusion MRI is a magnetic resonance imaging (MRI) method producing images of biological tissues weighted with the local characteristics of water diffusion. In our case we are concerned with neural a...
In this talk we shall present some qualitative results for solutions of the fully nonlinear elliptic Allen Cahn Equation; precisely we shall see that under specific conditions the solutions are one-di...
