## A quantitative Obata theorem via localization – Daniele Semola (Scuola Normale Superiore )

Obata’s theorem characterizes the equality case in the spectral gap inequality for N dimensional Riemannian manifolds with Ricci curvature bounded below by N-1. In this talk I will present an approach to the quantitative study of the shape of…

## On Blaschke-Santalo’ diagrams involving the torsional rigidity and the first eigenvalue of the Dirichlet Laplacian – Ilaria Lucardesi (Institut Elie Cartan de Lorraine)

A Blaschke-Santalo’ diagram is the range of a vector shape functional $(F_1,F_2)$ in $\mathbb R^2$. The determination of such attainable set amounts to completely characterize the relation between $F_1$ and $F_2$. In this talk I will present some…

## A rectifiability result for sets of finite perimeter in Carnot groups – Sebastiano Don (Universita’ di Padova)

After an introduction to the regularity problem for sets of finite perimeter in Carnot groups, we prove that the reduced boundary of a set of finite perimeter in a Carnot group can be covered by a countable union of sets satisfying a “cone…

## Continuum limit of a hard-sphere particle system by large deviations – Mark Peletier (Eindhoven University of Technology)

Many stochastic particle systems have well-defined continuum limits: as the number of particles tends to infinity, the density of particles converges to a deterministic limit that satisfies a partial differential equation. In this talk I will…

## On the trace of Sobolev spaces on the Von Koch’s snowflake – Michal Wojciechowski (Mathematical Institute of the Polish Academy of Science)

We show that the boundary trace operator on Sobolev space of functions with summable gradient on von Koch’s snowflake has a right inverse. This contrasts with the case of domains with nice boundaries in which, according to Petree’s theorem, a right…

## Linear stability of a shock profile for a quasilinear Benney system in R – Joao Paulo Dias (Lisbon)

Venue Sala Riunioni (Dip. Matematica). Abstract…

## Double phase problems with variable growth – Vicentiu Radulescu (Inst. Math. of the Romanian Academy & University of Craiova)

We consider several classes of double phase variational integrals driven by nonhomogeneous potentials. We study the associated Euler equations and we highlight some new properties. We point out concentration phenomena of the spectrum, nonexistence…

## Approximate convexity principles and applications to PDEs in convex domain – Marco Squassina (Univ Brescia)

We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some…

## Long Time Behavior of Flat Jump Discontinuities of Hyperbolic PDE – J. Rauch (Michigan U.)

Venue Sala Riunioni (Dip. Matematica). Abstract…

## Large Data Solutions for Fractional Higher Order Nonlinear Equations. – Sandra Lucente (University of Bari)

Large Data Solutions for Fractional Higher Order Nonlinear Equations. Abstract: We consider a class of evolution equation involving fractional Laplacian and nonlinear polynomial term. We discuss global existence in the energy space, decay estimates…

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