Homogenization and optimal design for nonlocal diffusion,

FERNÁNDEZ BONDER, JULIÁN; RITORTO, ANTONELLA; SALORT, ARIEL MARTIN

Milán

Seminario; Seminar, Università degli Studi di Milano; 2018

In the first part of the talk, we show a compactness result for the H-convergence of a family of nonlocal operator and linear monotone elliptic-type problems by means of Tartar's method of oscillating test functions. In the second part, we prove existence results for some shape optimization problems. Moreover, we also analyze the transition from nonlocal to local state equations.