The question whether or not there exist isoperimetric regions with densities can be very trivial or extremely difficult to consider depending on the assumptions on the density functions. We survey som...
Molte applicazioni avanzate del Calcolo Scientifico ricorrono a modelli semplificati in grado di ridurre i costi computazionali senza compromettere l'affidabilità modellistica. La riduzione gerarchica...
Partendo dalla teoria classica dell'elasticità si ricavano diversi possibili modelli che descrivono la statica dei ponti sospesi. Le equazioni differenziali risultanti sono ellittiche nonlineari...
Intrinsic volumes of convex sets are natural geometric quantities that also play important roles in applications. In particular, the discrete probability distribution L(VC) given by the sequence v{0},...
Abstract: Graphene, a carbon layer packed in a 2D honeycomb lattice, has been discussed theoretically in the 1940s, tough it took sixty years to be experimentally isolate...
In this work we study second order stationary Mean Field Game systems under density constraints. We show the existence of weak solutions for power-like Hamiltonians with arbitrary order of growth. The...
Nel talk discutero' come formulare in maniera astratta, nel setting di spazi vettoriali topologici muniti di una struttura di reticolo, la disuguaglianza classica di Lewy-Stampacchia. Il vantaggio di ...
Many real world problems can be modeled as nonlinear optimization problems where the first order derivatives of the objective function and constraints can be neither calculated nor approximated explic...
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....
