Double Bubbles on the Real Line with Log-Convex Density
Double Bubbles on the Real Line with Log-Convex Density
Abstract The classic double bubble theorem says that the least-perimeter way to enclose and separate two prescribed volumes in ℝ N is the standard double bubble. We seek the optimal double bubble in ℝ N with density, which we assume to be strictly log-convex. For N = 1 we show …