Lorenza D'Elia

activity

20232026

collaborators

4 papers

math.AP2026

Quasi-crystalline phase separation in one dimension

Riccardo Cristoferi, Lorenza D'Elia

We investigate a Modica-Mortola energy in heterogeneous materials with a quasi-crystalline microstructure, described by a suitable notion of almost periodicity. In the regime where…

math.AP2025

Relaxation of variational problems in the space of functions with bounded $B$ -variation: interaction with measures and lack of concentration phenomena

Lorenza D'Elia, Elvira Zappale

We prove an integral representation result for variational functionals in the space $B V^{B}$ of functions with bounded $B$ -variation where $B$ denotes…

math.AP2025

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…

math.AP2023

Homogenization of supremal functionals in the vectorial case (via $L^{p}$ -approximation)

Lorenza D'Elia, Michela Eleuteri, Elvira Zappale

We propose a homogenized supremal functional rigorously derived via $L^{p}$ -approximation by functionals of the type $\underset{x\inΩ}{\mbox{ess-sup}}\hspace{0.03cm} f\left(\frac{x}{…

Quasi-crystalline phase separation in one dimension

Relaxation of variational problems in the space of functions with bounded B-variation: interaction with measures and lack of concentration phenomena

First-order homogenization

Homogenization of supremal functionals in the vectorial case (via Lp-approximation)

Relaxation of variational problems in the space of functions with bounded $B$ -variation: interaction with measures and lack of concentration phenomena

Homogenization of supremal functionals in the vectorial case (via $L^{p}$ -approximation)