For a parameter s > 0 and an N -point set ω ω N = { x 1 , … … , x N } ⊂ ⊂ R p , the s -energy of ω ω N is defined as follows: E s ( ω ω N ) := ∑ ∑ i ≠ j 1 ≤ ≤ i , j ≤ ≤ N 1 | x i − − x j | s For a compact set A we define its minimal N -point s -energy as E s ( A , N ) := min E s ( ω ω N ) , where the minimum is taken over all N -point subsets of A ; i.e., ω ω N ⊂ ⊂ A . Configurations ω ω N that attain this infimum are called N -point s -equilibrium configurations.