4 papers
Optimal constant for the trace inequality in for domains with corners
Riccardo Cristoferi, Devin van der Gulik
We determine the explicit value of the optimal constant in the trace inequality for functions of bounded variations in the case the domain has a particular class of singularities.
Low regularity potentials in heterogeneous Cahn--Hilliard functionals
Riccardo Cristoferi, Jakob Deutsch, Luca Pignatelli
In this paper, we study the prototypical model of liquid-liquid phase separation, the Cahn-Hilliard functional, in a highly irregular setting. Specifically, we analyze potentials w…
Phase separation in multiply periodic materials with fine microstructures
Riccardo Cristoferi, Luca Pignatelli
We study a Cahn-Hilliard model for phase separation in composite materials with multiple periodic microstructures. These are modeled by considering a highly oscillating potential.…
First-order homogenization
Riccardo Cristoferi, Lorenza D'Elia
We provide a first-order homogenization result for quadratic functionals. In particular, we identify the scaling of the energy and the explicit form of the limiting functional in t…