We study optimal embeddings for the space of functions whose Laplacian belongs to L1(Ω), where Ω⊂RN is a bounded domain. This function space turns out to be strictly larger than the Sobolev space W2,1...
We consider a purely variational approach to time dependent problems, yielding the existence of global parabolic minimizers. These evolutionary variational solutions are obtained as limits of maps dep...
In this talk I shall discuss the rigorous derivation of a quasistatic evolution model for a thin plate in the framework of Prandtl-Reuss plasticity via Gamma-convergence techniques. The limiting model...
The starting point is a paper by L. Boccardo, F. Murat, J.P. Puel, where it is considered the zero Dirichlet boundary value problems associated to nonlinear elliptic equaltions with quadratic dependen...
We will describe recent results on the doubly parabolic Keller-Segel system in the plane, when the initial data belong to critical scaling-invariant Lebesgue spaces. We analyze the global existence of...
This is a survey of old and new necessary and sufficient conditions for validity of various integral inequalities containing arbitrary weights (measures and distributions). These results have direct a...
In this lecture we consider a singularly perturbed semilinear elliptic problem with power non-linearity in Annular Domains in R2n and show the existence of two orthogonal Sn−1 concentrating solution...
I will describe the profile of optimal solutions of the martingale counterpart of the Monge mass transport problem. These are one-step martingales that maximize or minimize the expected value of the m...
Given a vector field a and a function f, we want to find a vector field u such that {divu+⟨a;u⟩=f u=0in Ωon ∂Ω. This is a joint work with Gyula Csato....
SEMINARIO DEI DOTTORANDI Starting from the damage model for elastic material introduced by Francfort&Marigo, we will present results that combines efficiently the notion of quasi-static evolution ...
