Author profile: Cañete Martín, Antonio Jesús
Institutional data
Name | Cañete Martín, Antonio Jesús |
Department | Matemática Aplicada I |
Knowledge area | Matemática Aplicada |
Professional category | Profesor Titular de Universidad |
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Statistics
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No. publications
19
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No. visits
1160
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No. downloads
1363
Publications |
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Article
Optimal Divisions of a Convex Body
(Ele-Math, 2023)
For a convex body C in Rd andadivision of C into convex subsets C1,...,Cn, we can consider max{F(C1),...,F(Cn)} (respectively, ... |
Article
Cheeger sets for rotationally symmetric planar convex bodies
(Springer, 2022)
In this note we obtain some properties of the Cheeger set CΩ associated to a k-rotationally symmetric planar convex body ... |
Article
On the isodiametric and isominwidth inequalities for planar bisections
(European Mathematical Society (EMS), 2021)
For a given planar convex body K, a bisection of K is a decomposition of K into two closed sets A,B so that A∩B is an ... |
Article
Borsuk Number for Planar Convex Bodies
(Springer, 2019)
By using some simple tools from graph theory, we obtain a characterization of the compact sets in Rn with Borsuk number ... |
Article
On the isodiametric and isominwidth inequalities for planar bisections
(Cornell University, 2019)
For a given planar convex compact set K, consider a bisection {A,B} of K (i.e., A [ B = K and whose common boundary A \ B ... |
Article
Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter
(Cornell University, 2018)
In this paper we study the bisections of a centrally symmetric planar convex body which minimize the maximum relative ... |
Article
Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter
(Elsevier, 2016)
In this work we study subdivisions of k-rotationally symmetric planar convex bodies that minimize the maximum relative ... |
Article
The maximum relative diameter for multi-rotationally symmetric planar convex bodies
(Ele-Math, 2016)
In this work we study the maximum relative diameter functional dM in the class of multi-rotationally symmetric planar ... |
Article
Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter
(Elsevier, 2014)
In this work we study the fencing problem consisting of finding a trisection of a 3-rotationally symmetric planar convex ... |
Article
Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities
(Springer, 2014)
We consider a smooth Euclidean solid cone endowed with a smooth homogeneous density function used to weight Euclidean ... |
Presentation
Regiones estables e isoperimétricas en variedades con densidad
(Real Sociedad Matemática Española, 2013)
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Article
A new bound on the Morse index of constant mean curvature tori of revolution in S3
(Springer, 2012)
In this work we give a new lower bound on the Morse index for constant mean curvature tori of revolution immersed in the three-sphere S3, by computing some explicit negative eigenvalues for the corresponding Jacobi operator. |
Article
Some isoperimetric problems in planes with density
(Springer, 2010)
We study the isoperimetric problem in Euclidean space endowed with a density. We first consider piecewise constant densities ... |
Presentation
Snell’s law in an isoperimetric setting
(American Institute of Physics, 2010)
In this work we focus on the isoperimetric problem in R2 endowed with a piecewise constant density. We will see that the ... |
Article
The isoperimetric problem in complete annuli of revolution with increasing Gauss curvature
(Cambridge University Press, 2008)
In this work we describe the isoperimetric regions in complete symmetric annuli of revolution with Gauss curvature ... |
Article
On the isoperimetric problem in Euclidean space with density
(Springer, 2008)
We study the isoperimetric problemfor Euclidean space endowedwith a continuous density. In dimension one, we characterize ... |
Article
Stable and Isoperimetric Regions in Rotationally Symmetric Tori with Decreasing Gauss Curvature
(Indiana University Mathematics Department, 2007)
In this work we classify the stable regions (second order minima of perimeter under an area constraint) in tori of revolution ... |
Presentation
Least-perimeter partitions of the disk
(Real Sociedad Matemática Española, 2004)
In this work we study the isoperimetric problem of partitioning a planar disk into n regions of prescribed areas using the ... |
Article
Least-perimeter Partitions of the Disk into Three Regions of Given Areas
(Indiana University Mathematics Department, 2004)
We prove that the unique least-perimeter way of partitioning the unit 2-dimensional disk into three regions of prescribed areas is by means of the standard graph described in Figure 1. |