On Liouville's theorem for the Hessian quotient equation ${\sigma }_2/{\sigma }_1$

Siyuan Lu, Marcin Sroka

We prove Liouville's theorem for semi-convex entire solutions to Hessian quotient equation ${\sigma }_2/{\sigma }_1=1$ in ${\mathbb{R}}^n$. The proof is based on the observation that after rewriting…