Optimal Rigidity Results for the $k$-Hessian Equation of Lane--Emden Type

Wei Dai, Jingze Fu, Changfeng Gui +1

In this paper, we establish optimal Liouville theorems and classification results for the \(k\)-Hessian Lane--Emden equation \[ σ_k(-D^2u)=u^p\quad\text{in }\R^n,\qquad -D^2u\in\ov…