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 Г-convergence result for a smaller class of functionals.

Keywords

• integral representation
• carnot groups
• г-convergence
• 49j45
• 49n99
• 49q99