We identify a norm on the pressure variable in the Stokes equation that allows us to prove a continuous inf-sup condition with a constant independent of the domain's aspect ratio. This is in contrast ...
A recent influential article by Liu, Liu, and Xu gave a new example of a 42-dimensional (singular) irreducible symplectic variety with a Lagrangian fibration. This is obtained by compactifying a const...
We will present some recent results on the existence of a positive solution to nonlinear Schrödinger equations $$-\Delta u+V(x)u=f(u)\mbox{ in }\mathbb{R}^N, $$ for very general potentials $V$, with p...
In this talk, I will present recent results obtained jointly with Mousomi Bhakta and Anup Biswas (IISER Pune, India) on Liouville-type theorems for a class of nonhomogeneous quasilinear elliptic equat...
We present some recent results on the first eigenvalue of the magnetic Laplacian associated with closed potential 1-forms on compact Riemannian surfaces. We introduce some (conformal) spectral invaria...
Given a random walk on a group of isometries of hyperbolic (or other symmetric) space, one can consider its hitting measure, i.e. the probability that the walk converges to a given subset of the bound...
E' vero che la matematica apre molte porte? Ne parliamo con Tommaso Scotti, laureato al Castelnuovo, PHD in Matematica applicata a Tokyo, dove ora lavora e scrive gialli....
The Bogomolov–Tian–Todorov (BTT) theorem states that smooth Calabi–Yau (CY) varieties over the complex numbers have unobstructed deformation spaces. While this fails over fields of positive characteri...
Davvero la matematica apre molte porte? Ne parliamo con Tommaso Scotti, laureato al Castelnuovo, PHD in Matematica applicata a Tokyo, dove ora lavora e scrive gialli (www.tommasoscotti.com)....
We show that mean curvature flow translators may exhibit non-removablesingularities at infinity, due to jump discontinuities in their asymptotic profiles, and thatoscillation can persist so as to yiel...
