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...
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...
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...
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...
Abstract: The Earth shows a systematic asimmetry of the first order tectonic features, both along subduction zones, orogens and oceanic rifts. This signature is consistent with the "westerly" dir...
Verranno discussi alcuni problemi di frontiera libera della magneto-idrodinamica ideale, dove si trascurano gli effetti di dissipazione o la tensione superficiale, con l'obiettivo più generale di most...
We discuss problems where there is a large interacting term.These occur in population models and nonlinear optics.we discuss some new Holder estimates and some new results on the behaviour of the corr...
For a second-order elliptic equation in divergence form we investigate conditions on the coefficients which imply that all solutions are Lipschitz continuous or differentiable at a given point. We ass...
In this talk I discuss work with Marco Veneroni on curvature-penalizing energies that arise in models of pattern formation. These nonlocal energies contain competing terms, penalizing both rapid varia...
Metivier proved in 2005 that hyperbolicity, meaning reality of the spectrum of the principal symbol, is a necessary condition for the well-posedness of the initial-value problem associated with first-...
