In this paper, we are concerned with a Liouville-type result of the nonlinear
integral equation \begin{equation*}
u(x)=\int_{\mathbb{R}^{n}}\frac{u(1-|u|^{2})}{|x-y|^{n-\alpha}}dy,
\end{equation*} where u:RnâRk with kâ„1
and 1<α<n/2. We prove that uâL2(Rn)âuâĄ0 on Rn, as long as u is a bounded and differentiable solution.Comment: 7 page