The Emden-Fowler equation on a spherical cap of ${\mathbb{S}}^N$

Atsushi Kosaka, Yasuhito Miyamoto

Let ${\mathbb{S}}^N\subset {\mathbb{R}}^{N+1}$, $N\ge 3$, be the unit sphere, and let $S_{\Theta }\subset {\mathbb{S}}^N$ be a geodesic ball with geodesic radius $\Theta \in (0,\pi )$. We study the bifurcat…