Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type
Differential Geometry
2021-04-07 v2
Abstract
We construct explicit proper p-harmonic functions on rank-one Lie groups of Iwasawa type. This class of Lie groups includes many classical Riemannian manifolds such as the rank-one symmetric spaces of non-compact type, Damek-Ricci spaces, rank-one Einstein solvmanifolds and Carnot spaces.
Cite
@article{arxiv.2007.14157,
title = {Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type},
author = {Sigmundur Gudmundsson and Anna Siffert and Marko Sobak},
journal= {arXiv preprint arXiv:2007.14157},
year = {2021}
}