The Bourgain Subset of Baire-1 Functions and Descriptive Set Theory – Jeremy Mirmina (Università di Pisa)

First session of Map Seminar devoted to PhD students and Master students.…

Free boundary regularity in the one-phase Stefan problem: a recent perturbative approach – Nicolò Forcillo (Università di Bologna)

In this talk, we focus on the free boundary regularity in the one-phase Stefan problem. Specifically, we describe a recent perturbative approach to the study of this. In the first part, we introduce some general notions and results connected with…

Distributional fractional Sobolev and BV spaces – Giovanni Comi (Università di Pisa)

Differently from their integer versions, the fractional Sobolev spaces $W^{\alpha,p}(\mathbb{R}^n)$ do not seem to have a clear distributional nature. By exploiting suitable notions of fractional gradient and divergence already existing in the…

Nonlinear Schrödinger ground states on metric graphs – Filippo Boni (Politecnico di Torino e Università di Torino)

Nonlinear dynamics on graphs has rapidly become a topical issue with many physical applications, ranging from nonlinear optics to Bose–Einstein condensation. In the first part of the talk, we introduce the problem of the existence of ground states…

A comparison principle for the Lane-Emden equation and applications to geometric estimates – Anna Chiara Zagati (Università di Ferrara)

We introduce a comparison principle for positive supersolutions and subsolutions to the Lane-Emden equation for the p−Laplacian. Then we apply such a comparison principle to obtain a variety of results, as “hierarchy” of solutions, sharp pointwise…

The first eigenvalue of the (fractional) Dirichlet-Laplacian vs. the infradius. – Francesca Bianchi (Università di Ferrara)

To attend in presence you need to fill in an online form, while to follow remotely you need a Google Meet link. Both of them are available at: https://seminarimap.wixsite.com/seminarimap/2021-2022/francesca-bianchi ABSTRACT: We discuss for…

Curvature varifolds and biological membranes – Katharina Brazda (University of Vienna)

The seminar will be online only. The link is available at: https://seminarimap.wixsite.com/seminarimap/2021-2022/katharina-brazda ABSTRACT: Varifolds are measures that describe generalized surfaces in geometric measure theory. Due to their…

On modified quasilinear Schrödinger equations: a variational approach – Caterina Sportelli (Università di Bari)

In the last years, quasilinear Schrödinger-type equations became a topic of wide interest and they have been derived as a model of several physical phenomena. In this talk, after having recall some classical variational tools, we study the existence…

On the convex components of a set – Giorgio Stefani (University of Basel)

The convex components of a set (with non-empty interior) are not uniquely determined in general. In this talk, after having recalled some elementary (quantitative) monotonicity properties of the Euclidean perimeter, we study some lower bounds on the…

The Beris-Edward model for liquid crystals with absence of flow – Daniele Barbera (Università di Pisa)

In this talk I’ll present my master’s thesis project, focused on the Beris-Edward model. This system studies the behaviour of a molecule in a flux of nematic liquid crystals, a state of matter intermediate between the solid state and the liquid one.…

Torna in cima