On the sharp quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality in ${\mathbb{R}}^n$ with $n\ge 3$

Wei Dai, Yichen Hu, Shaolong Peng

Assume $n\ge 3$ and $u\in {\dot{H}}^1({\mathbb{R}}^n)$. Recently, Piccione, Yang and Zhao \cite{Piccione-Yang-Zhao} established a nonlocal version of Struwe's decomposition in \cite{St…