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

Wei Zhang, Qi Zhou

公開日: 2025/9/10

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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