Uniqueness of bound states to $\hat{I}”u-u+|u{|}^{p-1}u=0$ in ${\mathbb{R}}^n$, $n\ge 3$

Moxun Tang

We give a positive answer to a conjecture of Berestycki and Lions in 1983 on the uniqueness of bound states to $\hat{I}”u+f(u)=0$ in ${\mathbb{R}}^n$, $u\in H^1({\mathbb{R}}^n)$, $u\not\equ…