The Liouville theorem on H-type groups
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908686993063936 |
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| author | Li, Chuanyang Zhang, Juan Zhao, Peibiao |
| author_facet | Li, Chuanyang Zhang, Juan Zhao, Peibiao |
| contents | 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)]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02387 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Liouville theorem on H-type groups Li, Chuanyang Zhang, Juan Zhao, Peibiao Differential Geometry 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)]. |
| title | The Liouville theorem on H-type groups |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2512.02387 |