Existence of isoperimetric regions in sub-Finsler nilpotent groups
Year: 2025
Type: article
Abstract: We consider a nilpotent Lie group with a bracket-generating distribution ℋ {\mathcal{ {\mathcal H} }} and an asymmetric left-invariant norm ∣ ⋅ ∣ K {| \cdot | }_{K} induced by a convex body K ⊆ R k K\subseteq {{\mathbb{R}}}^{k} containing 0 in its interior. In this study, we prove the existence of minimizers of the perimeter functional P K {P}_{K} associated with ∣ ⋅ ∣ K {| \cdot | }_{K} under a volume (Haar measure) constraint.
Author: Julián Pozuelo
Institution: University of Padua
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,187
OpenAlex ID: W4412790113