Translator Disclaimer
November 2018 Double Bubbles on the Line with Log-Convex Density $f$ with $(\log f)'$ Bounded
Nat Sothanaphan
Missouri J. Math. Sci. 30(2): 166-175 (November 2018). DOI: 10.35834/mjms/1544151693

Abstract

We extend results of Bongiovanni et al. [1] on double bubbles on the line with log-convex density to the case where the derivative of the log of the density is bounded. We show that the tie function between the double interval and the triple interval still exists, but may blow up to infinity in finite time. For the first time, a density is presented for which the blowup time is positive and finite.

Citation

Download Citation

Nat Sothanaphan. "Double Bubbles on the Line with Log-Convex Density $f$ with $(\log f)'$ Bounded." Missouri J. Math. Sci. 30 (2) 166 - 175, November 2018. https://doi.org/10.35834/mjms/1544151693

Information

Published: November 2018
First available in Project Euclid: 7 December 2018

zbMATH: 1396.49040
MathSciNet: MR3884738
Digital Object Identifier: 10.35834/mjms/1544151693

Subjects:
Primary: 49Q10

Rights: Copyright © 2018 Central Missouri State University, Department of Mathematics and Computer Science

JOURNAL ARTICLE
10 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.30 • No. 2 • November 2018
Back to Top