Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere --- the Exceptional Case

Johann S. Brauchart, Peter D. Dragnev, Edward B. Saff +1

We consider the minimal discrete and continuous energy problems on the unit sphere ${\mathbb{S}}^d$ in the Euclidean space ${\mathbb{R}}^{d+1}$ in the presence of an external field due…