## A partial Gamma-convergence result for a family of functionals depending on curvatures – Luca Lussardi (Università Cattolica, Brescia)

Biomembranes are remarkable structures with both fluid-like and solid-like properties: the main constituents are amphiphilic lipids, which have a head part that attracts water and a tail part that repels it. Because of these properties, such lipids…

## Optimal control problems in transport dynamics – Mattia Bongini (TUM )

In this talk we shall discuss several results concerning the \it{indirect control of populations}, i.e., how to influence a group of individuals by means of external agents with a directly controlled dynamics. By using the general theory of…

## “Ground states per energie tipo NLS su grafi metrici” – Paolo Tilli

We investigate the existence of ground states for a focusing NLS functional with a power nonlinearity over a metric graph (i.e. a one-dimensional network made up of finite intervals and/or half-lines, glued together according to the topology of a…

## Ground states and Excitation Spectrum of Bosonic Quantum Many-Body Systems – Robert Seiringer

Many questions concerning models in quantum mechanics require a detailed analysis of the spectrum of the corresponding Hamiltonian, a linear operator on a suitable Hilbert space. Of particular relevance for an understanding of the low-temperature…

## On the set of conformal scalar-flat metrics on manifolds with boundary – Sergio Almaraz (UFF – Universidade Federal Fluminense, Brazil)

Let (M, g) be a compact Riemannian manifold with boundary. In this talk I will be interested in the set of scalar-flat metrics on M which are in the conformal class of g and have the boundary as a constant mean curvature hypersurface. I will mainly…

## A direct approach to Plateau’s problem. – Francesco Ghiraldin

I will present a direct approach to solve the the Plateau problem. The problem is formulated as the minimization of the Hausdorff measure among a family of d-rectifiable closed subsets of $R^n$: the existence result is obtained by a compactness…

## “Shape optimization problems with Robin conditions on the free boundary” – Dorin Bucur (Université de Savoie, France)

Motivated by spectral optimization problems, we provide a free discontinuity approach to a class of shape optimization problems involving Robin conditions on the free boundary. More precisely, we identify a large family of domains on which such…

## “On the first nontrivial Neumann eigenvalue of the infinity Laplacian” – Carlo Nitsch (Università Federico II, Napoli)

The first nontrivial eigenfunction of the Neumann eigenvalue problem for the p-Laplacian converges, as $p$ goes to $\infty$, to a viscosity solution of a suitable eigenvalue problem for the $\infty$-Laplacian. We show among other things that the…

## Perturbations of variational evolutions – Andrea Braides (Universita’ di Roma “Tor Vergata)

The notion of minimizing movement (Almgren-Taylor-Wang, De Giorgi), which has been used to give a general definition of gradient flow (Ambrosio-Gigli-Savaré) can also be used to study a “homogenized” motion for a family of functionals depending on a…

## Lipschitz Metrics for Nonlinear Wave Equations – Alberto Bressan (Penn State University)

The talk is concerned with some classes of nonlinear wave equations: of first order, such as the Camassa-Holm equation, or of second order, as the variational wave equation $u_{tt} – c(u) (c(u)u_x)_x=0$. In both cases, it is known that the equations…

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