In the talk I will describe some nonlinear severly ill-posed inverse boundary value problems involving elliptic equations and elliptic systems with applications to medical imaging, non destructive tes...
In this talk I will discuss some new results on the infinitesimal behavior of 2 dimensional almost minimal surfaces (relevant examples are semi-calibrated currents and section of 3 dimensional minimiz...
Following the method introduced by Evans y Gangbo to solve the classical Monge-Kantorovich mass transport problem, in this lecture we present two mass transport problems obtained as limit when p\to \i...
We review some recent results concerning with the existence of positive solutions of the following problem \begin{cases} \displaystyle -\Delta u +H(x,u,\nabla u)= \lambda f(u) \quad & \mbox{in}\,\...
We shall analyze relative entropy methods in connections with singular limits, both for the hyperbolic-to-hyperbolic and for the hyperbolic-to-parabolic relaxations. For the former case, we recall in ...
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...
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...
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...
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...
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...
