Published Paper

Inserted: 19 jun 2021
Last Updated: 29 jan 2026

Journal: Adv. Calc. Var.
Year: 2023
Doi: https://doi.org/10.1515/acv-2021-0054

Abstract:

Given an open and bounded set Ω ⊆ Rn and a family X = (X1,...,Xm) of Lipschitz vector fields on Ω, with m ≤ n, we characterize three classes of local functionals defined on first-order X-Sobolev spaces, which admit an integral representation in terms of X.

Download:

• /Users/andreapinamonti/Downloads/Integral_Representation_of_Local_Functionals-2.pdf