Michela Eleuteri

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math.AP2025

Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces

Michela Eleuteri, Luca Lussardi, Andrea Torricelli +1

We study simultaneous homogenization and dimensional reduction of integral functionals for maps in manifold-valued Sobolev spaces. Due to the superlinear growth regime, we prove th…

math.AP2024

Approximation of $L^{\infty}$ functionals with generalized Orlicz norms

Giacomo Bertazzoni, Michela Eleuteri, Elvira Zappale

The aim of this paper is to deal with the asymptotics of generalized Orlicz norms when the lower growth rate tends to infinity. $Γ$ -convergence results and related representation 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}{…

Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces

Approximation of L∞ functionals with generalized Orlicz norms

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

Approximation of $L^{\infty}$ functionals with generalized Orlicz norms

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