Publicaciones (19) Publicaciones de ANTONIO JESÚS CAÑETE MARTÍN

2023

  1. OPTIMAL DIVISIONS OF A CONVEX BODY

    Mathematical Inequalities and Applications, Vol. 26, Núm. 2, pp. 315-342

2022

  1. Cheeger Sets for Rotationally Symmetric Planar Convex Bodies

    Results in Mathematics, Vol. 77, Núm. 1

2021

  1. On the isodiametric and isominwidth inequalities for planar bisections

    Revista matemática iberoamericana, Vol. 37, Núm. 4, pp. 1247-1275

2020

  1. Borsuk Number for Planar Convex Bodies

    Results in Mathematics, Vol. 75, Núm. 1

2019

  1. Bisections of Centrally Symmetric Planar Convex Bodies Minimizing the Maximum Relative Diameter

    Mediterranean Journal of Mathematics, Vol. 16, Núm. 6

2016

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

    Journal of Mathematical Analysis and Applications, Vol. 435, Núm. 1, pp. 718-734

  2. The maximum relative diameter for multi-rotationally symmetric planar convex bodies

    Mathematical Inequalities and Applications, Vol. 19, Núm. 1, pp. 335-347

2014

  1. Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities

    Calculus of Variations and Partial Differential Equations, Vol. 51, Núm. 3-4, pp. 887-913

  2. Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter

    Journal of Mathematical Analysis and Applications, Vol. 418, Núm. 2, pp. 1030-1046

2012

  1. A new bound on the Morse index of constant mean curvature tori of revolution in S 3

    Calculus of Variations and Partial Differential Equations, Vol. 45, Núm. 3-4, pp. 467-479

2010

  1. Snell's law in an isoperimetric setting

    XVIII INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS

  2. Snell's law in an isoperimetric setting

    AIP Conference Proceedings

  3. Some isoperimetric problems in planes with density

    Journal of Geometric Analysis, Vol. 20, Núm. 2, pp. 243-290

2008

  1. The isoperimetric problem in complete annuli of revolution with increasing Gauss curvature

    Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 138, Núm. 5, pp. 989-1003

2007

  1. On the isoperimetric problem in Euclidean space with density

    Calculus of Variations and Partial Differential Equations, Vol. 31, Núm. 1, pp. 27-46

  2. Stable and isoperimetric regions in rotationally symmetric tori with decreasing gauss curvature

    Indiana University Mathematics Journal, Vol. 56, Núm. 4, pp. 1629-1660

2006

  1. Stable and isoperimetric regions in tori of revolution

    XIV Fall Workshop on Geometry and Physics : Bilbao, Spain, september 14-16, 2005

2005

  1. Least-perimeter partitions of the disk

    Proceedings of XIII Fall Workshop on Geometry and Physics: Murcia, Spain. September 20-22, 2004

2004

  1. Least-perimeter partitions of the disk into three regions of given areas

    Indiana University Mathematics Journal, Vol. 53, Núm. 3, pp. 883-904