## 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…

## Existence of optimal shapes in optimal control theory – Idriss Mazari (Université de Paris Dauphine)

In this talk, we present several recent contributions (in collaboration with G. Nadin and Y. Privat) on the question of the existence of optimal shapes in optimal control theory for bilinear models. Motivated by applications in spatial ecology, we…

## Critical points at prescribed energy levels – Gaetano Siciliano (Univ. San Paulo, Brazil)

In this talk, we discuss the existence of critical points for a family of abstract and smooth functionals on Banach spaces under the energy constraint. By using the Ljusternick-Schnirelmann theory and the fibering method of Pohozaev we show, under…

TBA…

## The Riemannian Penrose inequality via nonlinear potential theory – Carlo Mantegazza (Università di Napoli)

We will discuss the Riemannian Penrose inequality in an asymptotically flat 3-manifold with nonnegative scalar curvature and the main points of a new proof by means of a monotonicity formula holding along the level sets of the p-capacitary…

## Non-uniqueness of Leray solutions of the forced Navier-Stokes equations – Elia Bruè (Institute for Advanced Study (Princeton))

In his seminal work, Leray demonstrated the existence of global weak solutions, with nonincreasing energy, to the Navier-Stokes equations in three dimensions. In this talk, we exhibit two distinct Leray solutions with zero initial velocity and…

## Existence Proofs for Pseudomonotone Parabolic Problems – Michael Růžička (Department of Applied Mathematics, University of Freiburg)

In the talk we discuss several existence proofs for nonlinear parabolic problems which contain a pseudomonotone operator. A new notion of Bochner pseudomonotonicity is introduced and applied. We show that this technique also allows for convergence…

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