A Liouville theorem for the $2$-Hessian equation on the Heisenberg group

Wei Zhang; Qi Zhou

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arXiv · 2509.08415

A Liouville theorem for the $2$-Hessian equation on the Heisenberg group

Wei Zhang·Qi Zhou

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Abstract

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.

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Wei Zhang, Qi Zhou. 2025-09-10. A Liouville theorem for the $2$-Hessian equation on the Heisenberg group. https://arxiv.org/abs/2509.08415

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