2 problems

Moments of Riesz $p$-equilibrium measures are minimal for the ball. For every $q\in(0,\infty)$,

Let $\tilde{\gamma}_j$ be neighborhoods of the connected components $\gamma_j$ of the support of the equilibrium measure, and set $\tilde{\Gamma}=\coprod_{j=1}^r\tilde{\gamma}_j$.…