From 12 to 6: Sharpening the Three-Charge Bound in Maxwell's Problem

A. Gabrielov, Dm. Novikov, T. Novikov +1

In \cite{GNS} we proved that, for every $\hat{I}\pm >0$, the potential of three positive point charges has at most $12$ nondegenerate equilibrium points. We also observed that the same meth…