A Liouville theorem for the $2$-Hessian equation on the Heisenberg group
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912580530864128 |
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| author | Zhang, Wei Zhou, Qi |
| author_facet | Zhang, Wei Zhou, Qi |
| contents | In this paper, we prove a Liouville theorem for the $2$-Hessian equation on the Heisenberg group $\mathbb{H}^n$. The result is obtained by choosing a suitable test function and using integration by parts to derive the necessary integral estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08415 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Liouville theorem for the $2$-Hessian equation on the Heisenberg group Zhang, Wei Zhou, Qi Analysis of PDEs 35B08, 35B53, 35R03 In this paper, we prove a Liouville theorem for the $2$-Hessian equation on the Heisenberg group $\mathbb{H}^n$. The result is obtained by choosing a suitable test function and using integration by parts to derive the necessary integral estimates. |
| title | A Liouville theorem for the $2$-Hessian equation on the Heisenberg group |
| topic | Analysis of PDEs 35B08, 35B53, 35R03 |
| url | https://arxiv.org/abs/2509.08415 |