Uniqueness and nondegeneracy of solutions for a critical nonlocal equation

Lele Du, Minbo Yang

The aim of this paper is to classify the positive solutions of the nonlocal critical equation: $$-\Delta u=\left(I_{\mu }\ast u^{2_{\mu }^{\ast }}\right)u^{2_{\mu }^{\ast }-1},x\in {\mathbb{R}}^N,$$…