Lorenza D'Elia

collaborators

3 papers

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}{…

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)