On critical dipoles in dimensions $n\ge 3$

S. Blake Allan, Fritz Gesztesy

We reconsider generalizations of Hardy's inequality corresponding to the case of (point) dipole potentials $V_{\gamma }(x)=\gamma (u,x)|x{|}^{-3}$, $x\in {\mathbb{R}}^n\backslash \{0\}$, $γ\in…