Integral representation of local left--invariant functionals in Carnot groups

Abstract

The aim of this note is to prove a representation theorem for left--invariant functionals in Carnot groups. As a direct consequence, we can also provide a $\Gamma$-convergence result for a smaller class of functionals.

References in corpus (1)

• $H$-convergence for equations depending on monotone operators in Carnot groups

Cited by in corpus (4)

• $\Gamma$-convergence for functionals depending on vector fields. I. Integral representation and compactness
• $\Gamma$-convergence for functionals depending on vector fields. II. Convergence of minimizers
• $H$-convergence for equations depending on monotone operators in Carnot groups
• $G$-convergence of elliptic and parabolic operators depending on vector fields