Published Paper

Inserted: 19 jun 2021
Last Updated: 24 jun 2024

Journal: Adv. Calc. Var.
Year: 2023

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.

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