The Liouville theorem on H-type groups
Differential Geometry
2025-12-03 v1
Abstract
In this paper we obtain a Liouville type theorem to the semilinear subcritical elliptic equation on H-type groups. The semilinear subcritical elliptic equation studied in this paper is a generalization of a classical semilinear subcritical elliptic equation on the Heisenberg group. The proofs are based on an {\it a priori} integral estimate and a generalized differential identity which found by Jerison and Lee [J. Diff. Geom, 29 (1989)].
Cite
@article{arxiv.2512.02387,
title = {The Liouville theorem on H-type groups},
author = {Chuanyang Li and Juan Zhang and Peibiao Zhao},
journal= {arXiv preprint arXiv:2512.02387},
year = {2025}
}