Non-degeneracy of multi-bump solutions for the prescribed scalar curvature equations and applications

Yuxia Guo, Monica Musso, Shuangjie Peng +1

We consider the following prescribed scalar curvature equations in ${\mathbb{R}}^N$ $$ - Δu =K(|y|)u^{2^*-1},\quad u>0 \quad \mbox{in} \quad {\mathbb{R}}^N, \quad u \in D^{1, 2}({\…