Sharp subcritical Sobolev inequalities and uniqueness of nonnegative solutions to high-order Lane-Emden equations on ${\mathbb{S}}^n$

Lu Chen, Guozhen Lu, Yansheng Shen

In this paper, we are concerned with the uniqueness result for non-negative solutions of the higher-order Lane-Emden equations involving the GJMS operators on ${\mathbb{S}}^n$. Since…