La classica teoria del potenziale tratta delle proprietà fini delle funzioni armoniche e delle soluzioni di equazioni ellittiche lineari. Negli ultimi anni si è sviluppata una teoria parallela, non li...
We consider a continuous coercive Hamiltonian on the cotangent bundle of the compact connected manifold M which is convex in the momentum. We prove that the viscosity solutions uλ:M→R of the critic...
Random evolution theory provides models for systems where the mode of evolution is modified according to random changes in the environment. It was initiated at the end of the sixties by Hersh, Griego,...
I will discuss a nonvanishing result for the Helmholtz resolvent operator in the spirit of Lions' first Lemma on concentration compactness. The result will be applied to prove the existence of standin...
I will discuss how the numerical analysis of the game p-Laplacian, developed with Falcone, Finzi Vita and Giorgi has led to new insights into the behavior of that operator. Particular results obtained...
We present recent results on the deterministic particle approximation of non-linear conservation laws. In [1], the unique entropy solution to a scalar conservation law with a given initial datum in Lâ...
I will consider the problem of prescribing the Gaussian curvature (under pointwise conformal change of the metric) on surfaces with conical singularities. This question has been first raised by Troyan...
We will describe a recent approach to treating the validity of comparison principles for weak solutions of scalar second order PDE of the form F(x,u(x),Hu(x)) = 0 under non standard structural conditi...
