In 1971 J. Serrin proved that, given a smooth bounded domain Ω⊂Rn and u a positive solution of the problem: −Δu=f(u) in Ω, u=0 on ∂Ω, ∂_νu= constant on ∂Ω, then Ω is necessarily a ball and u is radial...
We discuss a class of regularized zero-range Hamiltonians for three different problems satisfying a bosonic symmetry in dimension three. Following the standard approach in defining such Hamiltonians i...
Kazhdan and Lusztig introduced their eponymous polynomials for a Coxeter group W in 1979. Shortly thereafter, Lascoux and Schuetzenberger studied Kazhdan-Lusztig polynomials for Grassmannians and show...
AbstractUna struttura geometrica, o (G,X)-struttura, su uno spazio M consiste nel seguente dato: abbiamo un gruppo (di Lie) G che agisce transitivamente su uno spazio X e M è munito di un atlante di c...
I will introduce a new heat flow for harmonic maps with free boundary. After giving some motivations to study such maps in relation with extremal metrics in spectral geometry, I will construct weak so...
Artin groups are a generalization of braid groups, and arise as the fundamental groups of configuration spaces associated with Coxeter groups. A long-standing open problem, called the K(Π,1) conjectur...
The Schrödinger problem consists in finding the most likely evolution of a system of i.i.d. particles, conditionally on their initial and final configurations. In the last decade this problem has beco...
We prove that positive solutions of the superlinear Lane-Emden system in a two-dimensional smooth bounded domain are bounded independently of the exponents in the system, provided the exponents are co...
This talk is devoted to the numerical approximation of mean field games problems. We consider two cases: a first order problem, i.e the diffusion is null, and a second order problem. For the first one...
