We consider various examples of critical nonlinear partial differential equations which have the following common features: they are Hamiltonian, of dispersive nature, have a conservation law invarian...
What is the analogue of the principal eigenvalue for elliptic operators with non-compact resolvents? Focusing on the case where the lack of compactness is due to the unboundedness of the domain, we sh...
We study discrete monostable dynamics with general Lipschitz non-linearities. This includes also degenerate non-linearities. In the positive monostable case, we show the existence of a branch of trave...
Steiner symmetrization is a very useful tool in the study of isoperimetric inequality. This is also due to the fact that the perimeter of a set is less or equal than the perimeter of its Steiner symme...
I will present a variational time discretization for the multi-dimensional gas dynamics equations, in the spirit of minimizing movements for curves of maximal slope. Each timestep requires the minimiz...
We study the theory of Scattering in the energy space for various nonlinear Schr?dinger equations. In dimension 3 or bigger we consider a variable coefficients equation, for a gauge invariant, defocus...
In this talk we are interested in asymptotic behavior of singularly perturbedcontrol system in the non-periodic setting. More precisely, we consider the value function of finite horizon optimal contro...
In this talk, I will present the concentration profile of various kind of symmetric solutions of some semilinear elliptic problems arising in astrophysics and in diffusion phenomena. Motivated by thes...
I will present and discuss some results and problems about flows of metrics on Riemannian manifolds correlated to Ricci flow: - The "renormalization group" flow, truncated at the second order term. Th...
Equazioni paraboliche quasilineari con diffusione di segno variabile appaiono in importanti contesti applicativi (transizioni di fase, trattamento di immagini, dinamica di popolazioni, oceanografia). ...
