1D Triple Bubble Problem with Log-Convex Density

2018/05/22 by Sothanaphan, Nat
#49Q10 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1805.08377

Abstract

We prove that for a symmetric, strictly log-convex density on the real line, there are four possible types of perimeter-minimizing triple bubbles. This extends the work of Bongiovanni et al., which shows that there are two possible types of perimeter-minimizing double bubbles.

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