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- Title
Homogenization of supremal functionals in the vectorial case (via Lp-approximation).
- Authors
D'Elia, Lorenza; Eleuteri, Michela; Zappale, Elvira
- Abstract
We propose a homogenized supremal functional rigorously derived via L p -approximation by functionals of the type ess-sup x ∈ Ω f (x , D u) , when Ω is a bounded open set of ℝ n and u ∈ W 1 , ∞ (Ω ; ℝ d). The homogenized functional is also deduced directly in the case where the sublevel sets of f (x , ⋅) satisfy suitable convexity properties, as a corollary of homogenization results dealing with pointwise gradient constrained integral functionals.
- Subjects
FUNCTIONALS; ASYMPTOTIC homogenization; INTEGRALS
- Publication
Analysis & Applications, 2024, Vol 22, Issue 7, p1255
- ISSN
0219-5305
- Publication type
Article
- DOI
10.1142/S0219530524500179