Nondegeneracy of the positive solutions for critical nonlinear Hartree equation in ${\mathbb{R}}^6$

Xuemei Li, Xingdong Tang, Guixiang Xu

We prove that any positive solution for the critical nonlinear Hartree equation $$-\Laplacian\fct{u}{x} -\int_{\R^6} \frac{\abs{\fct{u}{y}}^2 }{ \abs{x-y}^4 }\odif{y} \,\fct{u}{x}=…