Calculus of Variations and Geometric Measure Theory

F. Essebei - A. Pinamonti - S. Verzellesi

Integral representation of local functionals depending on vector fields

created by pinamonti on 19 Jun 2021
modified on 06 Nov 2021


Accepted Paper

Inserted: 19 jun 2021
Last Updated: 6 nov 2021

Journal: Advances in Calculus of Variations
Year: 2021


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.