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arXiv · 2512.02387

The Liouville theorem on H-type groups

Chuanyang Li·Juan Zhang·Peibiao Zhao
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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)].

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Chuanyang Li, Juan Zhang, Peibiao Zhao. 2025-12-02. The Liouville theorem on H-type groups. https://arxiv.org/abs/2512.02387

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