… the equilibrium positions of three points on a convex curve under … points on the curve having
concurrent normals. This relates the equilibrium positions to the caustic (evolute) of the curve…

… Namely, we study the equilibria of three point charges in a bounded convex smooth domain
… It should be noted that equilibria of three charges on a convex curve have been studied in [7…

… We deal with equilibrium configurations of point charges with … No convex critical configuration
P has three charges lying on a … , there is no fixing effect for non-aligned convex polygons. …

… We also obtain a description of Coulomb equilibria for three charges on three … equilibria
of three positive charges. It should be noted that equilibria of three charges on a convex curve …

… We study the equilibrium measure on the two-dimensional sphere in the presence of … point
charges that are symmetrically located around the north pole. The support of the equilibrium …

… three point charges on a closed curve and four point charges at … the equilibria of three point
charges in a bounded convex … considerations are valid for general convex domains, here we …

… Our main results concern stable equilibria of point charges on convex curves. We begin
with charges on a circle. In this case, by virtue of the rotational symme try of the circle and the …

… equilibrium configurations of three mutually repelling point … bigger than at the regular convex
configuration. This supports … length of isoenergetic (level) curves of Coulomb energy in P …

… by pointing out that the case of convex indifference curves … that "M" is a unique stable
equilibrium and a Pareto optimum. Thus, … Unless T or T' is an equilibrium point, there will be …

… at equilibrium is convex and the equilibrium prices … supply curves, where demand is a
decreasing function of prices … function of prices; a point where they meet is called an equilibrium. …