The Ginzburg-Landau functional was originally proposed as a model for superconductivity in Euclidean domains. However, invariance with respect to gauge transformations - which is one of the most promi...
I will start by giving an introductory overview of different notions of generalized crystals (including quasicrystals), unified by the requirement that their Fourier transforms are atomic. Then we stu...
On a bounded domain of the Euclidean space R2m,m>1, Adimurthi, Robert and Struwe pointed out that, even assuming a volume bound ∫e2mudx≤C, some blow-up solutions for prescribed Q-curvature equation...
In this talk we discuss the stochastic homogenisation of free-discontinuity functionals. Assuming stationarity for the random volume and surface integrands, we prove the existence of a homogenised ran...
Seminari degli studenti di dottorato. In questo lavoro studiamo la struttura dell’insieme singolare delle funzioni a 2 di classe C^{1,α} su R^n il cui grafico è una varifold stazionaria di codim...
Seminari degli studenti di dottorato. In this talk we will discuss the use of variational methods for investigating crystallization problems. In such problems the typical functionals considered ...
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...
Soft-robotics is an emerging branch of robotics, focused on the design, construction and control of articulated manipulators (even with a large number of degrees of freedom) composed of elastic and so...
Si considera il modello di Landau-de Gennes per i cristalli liquidi nematici e la sua discussione matematica in termini di Q-tensori, concentrandosi per lo più sul caso di nematici "soffici" per i qua...
Dopo aver richiamato la costruzione della base di Lyndon dell'algebra di Lie libera, descriveremo un semplice algoritmo per calcolare l'espansione del prodotto di Baker-Campbell-Hausdorff in questa ba...
The recent development of quantum simulators using optical lattices and ultracold atoms have made it possible to model higher-dimensional quantum systems in the lab, by exploring so-called synthetic d...
