Doubling the equatorial for the prescribed scalar curvature problem on ${\mathbb{S}}^N$

Lipeng Duan, Monica Musso, Suting Wei

We consider the prescribed scalar curvature problem on ${\mathbb{S}}^N$ $$ Δ_{{\mathbb S}^N} v-\frac{N(N-2)}{2} v+\tilde{K}(y) v^{\frac{N+2}{N-2}}=0 \quad \mbox{on} \ {\mathbb S}…