Edit Profile (opens in new tab) Cañete, Antonio Co-Author Distance Author ID: canete.antonio Published as: Cañete, Antonio External Links: ORCID Documents Indexed: 21 Publications since 2004, including 2 Additional arXiv Preprints Co-Authors: 12 Co-Authors with 12 Joint Publications 284 Co-Co-Authors all top 5 Co-Authors 9 single-authored 3 Schnell, Uwe 3 Segura Gomis, Salvador 2 Ritoré, Manuel 2 Rosales, César 1 Bayle, Vincent 1 Fernández, Isabel 1 González Merino, Bernardo 1 Márquez, Alberto 1 Miori, Cinzia 1 Miranda, Michele jun. 1 Morgan, Frank 1 Vittone, Davide all top 5 Serials 3 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Analysis and Applications 2 Indiana University Mathematics Journal 2 Results in Mathematics 2 Mathematical Inequalities & Applications 1 Revista Matemática Iberoamericana 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mediterranean Journal of Mathematics all top 5 Fields 10 Convex and discrete geometry (52-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 4 Differential geometry (53-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 174 times in 122 Documents Cited by ▼ Year ▼ On the isoperimetric problem in Euclidean space with density. Zbl 1126.49038 Rosales, César; Cañete, Antonio; Bayle, Vincent; Morgan, Frank 94 2008 Some isoperimetric problems in planes with density. Zbl 1193.49050 Cañete, Antonio; Miranda, Michele jun.; Vittone, Davide 37 2010 Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities. Zbl 1317.53006 Cañete, Antonio; Rosales, César 16 2014 Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter. Zbl 1430.52008 Cañete, Antonio; Segura Gomis, Salvador 4 2019 Least-perimeter partitions of the disk into three regions of given areas. Zbl 1057.49034 Cañete, Antonio; Ritoré, Manuel 4 2004 Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter. Zbl 1329.52002 Cañete, Antonio; Schnell, Uwe; Segura Gomis, Salvador 4 2016 Cheeger sets for rotationally symmetric planar convex bodies. Zbl 1476.52001 Cañete, Antonio 3 2022 On the isodiametric and isominwidth inequalities for planar bisections. Zbl 1469.52003 Cañete, Antonio; González Merino, Bernardo 3 2021 The isoperimetric problem in complete annuli of revolution with increasing Gauss curvature. Zbl 1163.53002 Cañete, Antonio; Ritoré, Manuel 3 2008 Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter. Zbl 1311.52002 Cañete, Antonio; Miori, Cinzia; Segura Gomis, Salvador 2 2014 Borsuk number for planar convex bodies. Zbl 1440.52001 Cañete, Antonio; Schnell, Uwe 1 2020 The maximum relative diameter for multi-rotationally symmetric planar convex bodies. Zbl 1337.52002 Cañete, Antonio 1 2016 Stable and isoperimetric regions in rotationally symmetric tori with decreasing Gauss curvature. Zbl 1354.49099 Cañete, Antonio 1 2007 A new bound on the Morse index of constant mean curvature tori of revolution in \(\mathbb S^3\). Zbl 1254.53088 Cañete, Antonio 1 2012 Cheeger sets for rotationally symmetric planar convex bodies. Zbl 1476.52001 Cañete, Antonio 3 2022 On the isodiametric and isominwidth inequalities for planar bisections. Zbl 1469.52003 Cañete, Antonio; González Merino, Bernardo 3 2021 Borsuk number for planar convex bodies. Zbl 1440.52001 Cañete, Antonio; Schnell, Uwe 1 2020 Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter. Zbl 1430.52008 Cañete, Antonio; Segura Gomis, Salvador 4 2019 Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter. Zbl 1329.52002 Cañete, Antonio; Schnell, Uwe; Segura Gomis, Salvador 4 2016 The maximum relative diameter for multi-rotationally symmetric planar convex bodies. Zbl 1337.52002 Cañete, Antonio 1 2016 Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities. Zbl 1317.53006 Cañete, Antonio; Rosales, César 16 2014 Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter. Zbl 1311.52002 Cañete, Antonio; Miori, Cinzia; Segura Gomis, Salvador 2 2014 A new bound on the Morse index of constant mean curvature tori of revolution in \(\mathbb S^3\). Zbl 1254.53088 Cañete, Antonio 1 2012 Some isoperimetric problems in planes with density. Zbl 1193.49050 Cañete, Antonio; Miranda, Michele jun.; Vittone, Davide 37 2010 On the isoperimetric problem in Euclidean space with density. Zbl 1126.49038 Rosales, César; Cañete, Antonio; Bayle, Vincent; Morgan, Frank 94 2008 The isoperimetric problem in complete annuli of revolution with increasing Gauss curvature. Zbl 1163.53002 Cañete, Antonio; Ritoré, Manuel 3 2008 Stable and isoperimetric regions in rotationally symmetric tori with decreasing Gauss curvature. Zbl 1354.49099 Cañete, Antonio 1 2007 Least-perimeter partitions of the disk into three regions of given areas. Zbl 1057.49034 Cañete, Antonio; Ritoré, Manuel 4 2004 all cited Publications top 5 cited Publications all top 5 Cited by 164 Authors 10 Pratelli, Aldo 9 Cañete, Antonio 9 Chiacchio, Francesco 9 Rosales, César 7 Brock, Friedemann 7 Mercaldo, Anna 5 Posteraro, Maria Rosaria 4 Bueno, Antonio 4 de Lima, Henrique F. 4 Saracco, Giorgio 4 Yoon, Dae Won 3 Alvino, Angelo 3 Brandolini, Barbara 3 Cinti, Eleonora 3 de Lima, Eudes Leite 3 Franceschi, Valentina 3 He, Guoqing 3 Henrot, Antoine 3 Miquel, Vicente 3 Morgan, Frank 3 Segura Gomis, Salvador 3 Stefani, Giorgio 3 Zhao, Peibiao 2 Abreu, Emerson A. M. 2 Alama, Stan 2 Altin, Mustafa 2 Bronsard, Lia 2 Cabré, Xavier 2 Caroccia, Marco 2 Castro, Katherine 2 Chambers, Gregory R. 2 Dadok, Jiri 2 Dos Santos, Fábio Reis 2 Fernandes, Leandro G. jun. 2 Figalli, Alessio 2 Fusco, Nicola 2 Hieu, Doan The 2 Hurtado, Ana 2 Karadaǧ, Haci Bayram 2 Kazan, Ahmet 2 Le Nam, Tran 2 López Camino, Rafael 2 Maggi, Francesco 2 McGillivray, Ivor 2 Ortiz, Irene 2 Palmer, Vicente 2 Ros-Oton, Xavier 2 Rutka, Przemysław 2 Schnell, Uwe 2 Serra Montolí, Joaquim 2 Smarzewski, Ryszard 2 Sternberg, Peter J. 2 Velásquez, Marco Antonio Lázaro 2 Viñado-Lereu, Francisco 1 Akyigit, Mahmut 1 Alexander, Evan 1 Alías, Luis J. 1 Ancari, Saul 1 Baer, Eric 1 Barthe, Franck 1 Bezdek, Károly 1 Bianchini, Chiara 1 Bongiovanni, Eliot 1 Borisenko, Aleksandr Andreevich 1 Böröczky, Karoly jun. 1 Boyer, Wyatt 1 Brown, Bryan W. 1 Burns, Emily 1 Carroll, Colin 1 de Almeida Cavalcante, Marcos Petrúcio 1 Cavallina, Lorenzo 1 Cheng, Xu 1 Cianchi, Andrea 1 Ciani, Simone 1 Colesanti, Andrea 1 Contreras, Andres A. 1 Csató, Gyula 1 Dannenberg, Matthew 1 de Lira, Jorge Herbert Soares 1 de Oliveira, Darlan Ferreira 1 de Oliveira, Reinaldo Resende 1 De Philippis, Guido 1 Deng, Jialong 1 Di Giosia, Leonardo 1 Dipierro, Serena 1 Eichmair, Michael 1 Espinar, José María 1 Fan, Edward M. 1 Feo, Filomena 1 Fernández, Isabel 1 Franzina, Giovanni 1 Gálvez, Jose Antonio 1 Glaudo, Federico 1 González Merino, Bernardo 1 Habib, Jahangir 1 Hasnaoui, Abdelhalim 1 Hermi, Lotfi 1 Ho, Pak Tung 1 Huang, Qin 1 Impera, Debora ...and 64 more Authors all top 5 Cited in 66 Serials 10 Journal of Mathematical Analysis and Applications 9 The Journal of Geometric Analysis 9 Calculus of Variations and Partial Differential Equations 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Results in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Analysis and Geometry in Metric Spaces 2 Journal of Geometry and Physics 2 Advances in Mathematics 2 Geometriae Dedicata 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Revista Matemática Iberoamericana 2 The Journal of Fourier Analysis and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of the European Mathematical Society (JEMS) 2 Communications on Pure and Applied Analysis 2 International Journal of Geometric Methods in Modern Physics 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Discrete Mathematics 1 The Mathematical Intelligencer 1 Inventiones Mathematicae 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 Advances in Applied Mathematics 1 Acta Mathematica Hungarica 1 Computer Aided Geometric Design 1 Applied Numerical Mathematics 1 Communications in Partial Differential Equations 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Potential Analysis 1 Discrete and Continuous Dynamical Systems 1 Honam Mathematical Journal 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Advanced Nonlinear Studies 1 Missouri Journal of Mathematical Sciences 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica 1 International Electronic Journal of Geometry 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Involve 1 Asian-European Journal of Mathematics 1 Symmetry 1 Analysis and Mathematical Physics 1 International Journal of Analysis and Applications 1 Open Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 PUMP Journal of Undergraduate Research all top 5 Cited in 22 Fields 66 Differential geometry (53-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 29 Partial differential equations (35-XX) 17 Convex and discrete geometry (52-XX) 11 Measure and integration (28-XX) 11 Functional analysis (46-XX) 9 Real functions (26-XX) 9 Global analysis, analysis on manifolds (58-XX) 5 Geometry (51-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year