A Liouville theorem for the $2$-Hessian equation on the Heisenberg group
Wei Zhang, Qi Zhou
Published: 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.