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...
