1D Triple Bubble Problem with Log-Convex Density
Metric Geometry
2020-11-05 v4
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.
Keywords
Cite
@article{arxiv.1805.08377,
title = {1D Triple Bubble Problem with Log-Convex Density},
author = {Nat Sothanaphan},
journal= {arXiv preprint arXiv:1805.08377},
year = {2020}
}
Comments
16 pages, 9 figures