ANNULLATO Ginzburg–Landau type functionals provide a relaxation scheme to construct harmonic maps in the presence of topological obstructions. They arise in superconductivity models, in liquid crystal...
ANNULLATO In the talk I present some recent results concerning the existence and regularity of traveling waves for degenerate parabolic equations, i.e., with possibly vanishing diffusivities. Also the...
In this talk we consider the pressureless Euler system in dimension greater than or equal to two. Several works have been devoted to the search of solutions which satisfy the following adhesion or sti...
Given d ≥ 1, T > 0 and a vector field b: [0,T] × R^d → R^d , we study the problem of uniqueness of weak solutions to the associated transport equation ∂_t u + b·∇u = 0 where u: [0,T]×R^d → R is an ...
ANNULLATO It is believed or conjectured that the semilinear wave equations with scattering space dependent damping admit the Strauss critical exponent. In this work, we are devoted to showing the conj...
In this talk we present Hölder regularity estimates for an Hamilton-Jacobi with fractional time derivative of order α ∈(0,1) cast by a Caputo derivative. The Hölder seminorms are independent of time, ...
In this talk I will discuss how to find and compute the eigenvalues of Dirac operators in their spectral gaps. In order to do so in an optimal way, the delicate study of the domains of critical Dirac ...
I report here on a series of joint works with Alessandro Zilio (Université de Paris) about systems of competing predators interacting with a single prey. We focus on the analysis of stationary states,...
We consider the problem of finding domains that minimize the first eigenvalue of the Dirichlet Laplacian in a Riemannian manifold under volume constraint (Faber-Krahn minimizers). In the Euclidean set...
In this talk we introduce a general class of singularly-perturbed elliptic functionals Fε and we study their asymptotic behaviour as the perturbation parameter ε > 0 vanishes. Under suitable assump...
