DOUBLE BUBBLES ON THE LINE WITH LOG-CONVEX DENSITY f WITH (log f)' BOUNDED

被引：0

作者：

Sothanaphan, Nat ^{[1
]}

机构：

[1] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10003 USA

来源：

MISSOURI JOURNAL OF MATHEMATICAL SCIENCES | 2018年 / 30卷 / 02期

关键词：

double bubble; density; isoperimetric;

D O I：

10.35834/mjms/1544151693

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：166 / 175

页数：10

共 50 条

[21] Norm Inequalities via Convex and Log-Convex Functions
Cristian Conde
Nicuşor Minculete
Hamid Reza Moradi
Mohammad Sababheh
Mediterranean Journal of Mathematics, 2023, 20
[22] The Log-Convex Density Conjecture and vertical surface area in warped products
Howe, Sean
ADVANCES IN GEOMETRY, 2015, 15 (04) : 455 - 468
[23] On the isoperimetric problem for radial log-convex densities
A. Figalli
F. Maggi
Calculus of Variations and Partial Differential Equations, 2013, 48 : 447 - 489
[24] Log-convex sequences and nonzero proximate orders
Jimenez-Garrido, Javier
Sanz, Javier
Schindl, Gerhard
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 448 (02) : 1572 - 1599
[25] The Sugeno fuzzy integral of log-convex functions
Sadegh Abbaszadeh
Madjid Eshaghi
Manuel de la Sen
Journal of Inequalities and Applications, 2015
[26] Operator log-convex functions and operator means
Tsuyoshi Ando
Fumio Hiai
Mathematische Annalen, 2011, 350 : 611 - 630
[27] Power inequalities for log-convex functions with applications
Ighachane, Mohamed Amine
Akkouchi, Mohamed
Sababheh, Mohammad
FILOMAT, 2023, 37 (13) : 4425 - 4441
[28] Operator log-convex functions and operator means
Ando, Tsuyoshi
Hiai, Fumio
MATHEMATISCHE ANNALEN, 2011, 350 (03) : 611 - 630
[29] The Sugeno fuzzy integral of log-convex functions
Abbaszadeh, Sadegh
Eshaghi, Madjid
de la Sen, Manuel
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, : 1 - 12
[30] On the isoperimetric problem for radial log-convex densities
Figalli, A.
Maggi, F.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2013, 48 (3-4) : 447 - 489

← 1 2 3 4 5 →