Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter

Author:

Cañete Antonio,Schnell Uwe,Segura Gomis Salvador

Funder

Ministerio de Educación y Ciencia

Ministerio de Economía e Innovación

Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía

Ministerio de Economía y Competitividad

Fondo Europeo de Desarrollo Regional

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. Über eine Extremaleigenschaft des Kreises;Bieberbach;Jber. Deutsch. Math.-Vereinig,1915

2. Isoperimetric divisions into several cells with natural boundary;Bleicher,1987

3. Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter;Cañete;J. Math. Anal. Appl.,2014

4. Least-perimeter partitions of the disk into three regions of given areas;Cañete;Indiana Univ. Math. J.,2004

5. Calculations of the minimal perimeter for n deformable cells of equal area confined in a circle;Cox;Philos. Mag. Lett.,2006

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Optimal divisions of a convex body;Mathematical Inequalities & Applications;2023

2. Cheeger Sets for Rotationally Symmetric Planar Convex Bodies;Results in Mathematics;2021-11-06

3. On the isodiametric and isominwidth inequalities for planar bisections;Revista Matemática Iberoamericana;2020-10-26

4. Bisections of Centrally Symmetric Planar Convex Bodies Minimizing the Maximum Relative Diameter;Mediterranean Journal of Mathematics;2019-10-24

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