## Transport of currents – Filip Rindler (University of Warwick)

The transport of singular structures, such as vortex lines/sheets in fluids, topological singularities in magnetism, or dislocation lines in plastic…

## Sobolev embedding and distance functions – Francesca Prinari (Università di Pisa)

On a general open set of the euclidean space, we study the relation between the embedding of the homogeneous Sobolev…

## Proof of Sobolev and related inequalities via heat semigroup – Tohru Ozawa (Waseda)

A simple proof of the Gagliardo-Nirenberg inequalities (involving the Sobolev inequality)is presented by means of the heat semigroup.This talk is based on a recent joint-work with Taiki Takeuchi, Waseda University.…

## Optimal regularity for supercritical parabolic obstacle problems – Damià Torres (Universitat de Barcelona)

The parabolic nonlocal obstacle problem is said to be in the supercritical regime (s < 1/2) when the time derivative…

## Nikodym-type spherical maximal functions – Alan Chang (Princeton University)

We study $L^p$ bounds on Nikodym maximal functions associated to spheres. In contrast to the spherical maximal functions studied by Stein and Bourgain, our maximal functions are uncentered: for each point in  $\mathbb R^n$, we take the supremum over…

## A short proof of Allard’s theorem – Carlo Gasparetto (SISSA)

Allard’s theorem roughly states that a minimal surface, that is close enough to a plane, coincides with the graph of a smooth function which enjoys suitable a priori estimates. In this talk we will show how one can prove this result by exploiting…

## Clustering Solutions for a Boundary Yamabe Problem – Sergio Cruz Blanquez (Università degli Studi della Campania)

In this talk we consider a boundary case of the classical Kazdan-Warner problem in dimension greater or equal than four,…

## The influence of a strong oscillating magnetic field in an elastic body – Juan Casado Diaz (Universidad de Sevilla)

We study the homogenization of the elastic system submitted to a strong oscillating magnetic field. We prove that oscillations in time or space make increase the effective mass. More generally, oscillations in time and space produce a new term in…

## Old and new questions in the regularity theory of the d-bar-Neumann problem – Gian Maria Dall'Ara (Scuola Normale Superiore di Pisa)

In this talk, I will discuss various questions in the analysis of the d-bar-Neumann problem, a classical noncoercive boundary value…

## Normalized  solutions for non-autonomous Schroedinger equations in $R^n$ and exterior domains – Riccardo Molle (Università Roma Tor Vergata)

This talk concerns with some recent results about theexistence of positive solutions with prescribed mass for nonlinearSchrödinger equations with a…

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