{"id":21,"date":"2024-11-29T22:09:53","date_gmt":"2024-11-29T21:09:53","guid":{"rendered":"https:\/\/wpd.ugr.es\/~isoperimetric\/?page_id=21"},"modified":"2025-02-26T10:45:52","modified_gmt":"2025-02-26T09:45:52","slug":"publications","status":"publish","type":"page","link":"https:\/\/wpd.ugr.es\/~isoperimetric\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<p><strong>2024<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>G. Giovannardi, M. Ritor\u00e9, <a href=\"https:\/\/mathscinet.ams.org\/mathscinet\/leavingmsn?url=https:\/\/doi.org\/10.1142\/S0219199723500487\">The Bernstein problem for $(X,Y)$-Lipschitz surfaces in three-dimensional sub-Finsler Heisenberg groups<\/a>, Commun. Contemp. Math. <strong>26<\/strong>&nbsp;(2024), no.&nbsp;9, Paper No. 2350048, 38 pp.. <a href=\"https:\/\/arxiv.org\/abs\/2105.02179\">arXiv:2105.02179<\/a>.<\/li>\n\n\n\n<li>C. Rosales, <em><a href=\"https:\/\/www.ams.org\/journals\/bproc\/2024-11-11\/S2330-1511-2024-00214-2\/?active=current\" data-type=\"link\" data-id=\"https:\/\/www.ams.org\/journals\/bproc\/2024-11-11\/S2330-1511-2024-00214-2\/?active=current\">A note on the anisotropic Bernstein problem in $\\mathbb{R}^3$<\/a><\/em>, Proc. Amer. Math. Soc. Ser. B. <strong>11<\/strong> (2004), 105-114.<\/li>\n<\/ul>\n\n\n\n<p><strong>2023<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M. Ritor\u00e9, <em><a href=\"http:\/\/doi.org\/10.1007\/978-3-031-37901-7\">Isoperimetric inequalities in Riemannian manifolds<\/a><\/em>, Progress in Mathematics <strong>348<\/strong>, Birkhauser Verlag, 2023.<\/li>\n\n\n\n<li>M. Ritor\u00e9, <em><a href=\"http:\/\/wpd.ugr.es\/~ritore\/wordpress\/wp-content\/uploads\/2023\/09\/Geometry_of_metric_spaces-v2.pdf\">On the geometry of metric spaces<\/a><\/em>, Notices AMS <strong>70<\/strong>, no. 9 (2023) 1417\u20131425 . <\/li>\n\n\n\n<li>G. Giovannardi, J. Pozuelo, M. Ritor\u00e9, <a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-3-031-39916-9_7\">Area-minimizing horizontal graphs with low-regularity in the sub-Finsler Heisenberg group $\\mathbb{H}^1$<\/a>, New Trends in Geometric Analysis, RSME Springer Series <strong>10<\/strong>, 2023, pp. 209\u2013226. <\/li>\n\n\n\n<li>S. Barbero, M. Ritor\u00e9, <a href=\"https:\/\/doi.org\/10.1364\/JOSAA.501282\"><em>Extended-depth-of-focus wavefront design from pseudo-umbilical space curve<\/em>s<\/a>, Journal of the Optical Society of America A <strong>40<\/strong>, no. 10 (2023). <\/li>\n\n\n\n<li>J. Pozuelo, M. Ritor\u00e9, <a href=\"https:\/\/doi.org\/10.1515\/acv-2020-0093\">Pansu-Wulff shapes in $\\mathbb{H}^1$<\/a>. Adv. Calc. Var. <strong>16<\/strong><a class=\"\" href=\"https:\/\/mathscinet.ams.org\/mathscinet\/publications-search?query=ji%3A6466%20v%3A16\"> <\/a>, no. 1 (2023) 69\u201398. <a href=\"https:\/\/arxiv.org\/abs\/2007.04683\" target=\"_blank\" rel=\"noreferrer noopener\">arXiv:2007.04683<\/a>.<\/li>\n\n\n\n<li>C. Rosales, <em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00526-023-02528-0\">Compact anisotropic stable hypersurfaces with free boundary in convex solid cones<\/a><\/em>, Calc. Var. Partial Differential Equations <strong>62<\/strong>, no. 6 (2023), 185.<\/li>\n\n\n\n<li>A. Hurtado, C. Rosales, <a href=\"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/acv-2021-0050\/html\"><em>Area-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphere<\/em><\/a>, Adv. Calc. Var.<em> <\/em><strong>16<\/strong>, no. 3<em> <\/em>(2023), 689-704. <a href=\"https:\/\/arxiv.org\/abs\/2106.05661\">arXiv:2106.005661<\/a>.<\/li>\n\n\n\n<li>C. Rosales, <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0362546X23000834?via%3Dihub\"><em>Stable capillary hypersurfaces and the partitioning problem in balls with radial weights<\/em><\/a>, Nonlinear Anal.<strong> 233<\/strong> (2023), paper no. 113291, 21 pp.<\/li>\n\n\n\n<li>A. Ca\u00f1ete, I. Fern\u00e1ndez, A. M\u00e1rquez, <em><a href=\"https:\/\/mia.ele-math.com\/26-21\/Optimal-divisions-of-a-convex-body\">Optimal divisions of a convex body<\/a><\/em>, Math. Inequal. Appl. <strong>26<\/strong>, no. 2 (2023), 315-342.<\/li>\n\n\n\n<li>V. Gimeno, A. Hurtado, <a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-3-031-39916-9_6\">First Dirichlet Eigenvalue and Exit Time Moments: A Survey<\/a>, New Trends in Geometric Analysis, RSME Springer Series <strong>10<\/strong>, 2023, pp. 191\u2013208.<\/li>\n<\/ul>\n\n\n\n<p><strong>2022<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>G. P. Leonardi, M. Ritor\u00e9, E. Vernadakis, <em><a href=\"https:\/\/doi.org\/10.1090\/memo\/1354\">Isoperimetric inequalities in unbounded convex bodies<\/a><\/em>, Mem. Amer. Math. Soc. <strong>276<\/strong>, no. 1354 (2022). <a href=\"http:\/\/arxiv.org\/abs\/1606.03906\" target=\"_blank\" rel=\"noreferrer noopener\">arXiv:1606.03906<\/a>.<\/li>\n\n\n\n<li>G. Citti, G. Giovannardi, M. Ritor\u00e9, <em><a href=\"https:\/\/www.ugr.es\/~ritore\/preprints\/1902.04015.pdf\">Variational formulas for curves of fixed degree<\/a><\/em>. Adv. Differential Equations <strong>27<\/strong>, no. 5-6 (2022) 333\u2013384. <a href=\"https:\/\/arxiv.org\/abs\/1902.04015\" target=\"_blank\" rel=\"noreferrer noopener\">arXiv:1902.04015<\/a>.<\/li>\n\n\n\n<li>K. Castro, C. Rosales, <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022247X22001573?via%3Dihub\"><em>Uniqueness results and enclosure properties for hypersurfaces with boundary in weighted cylinders<\/em><\/a>, J. Math. Anal. Appl.<strong> 512<\/strong>, no. 1 (2022), paper no. 126143, 19 pp.<\/li>\n\n\n\n<li>A. Ca\u00f1ete, <em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00025-021-01539-7\">Cheeger sets for rotationally symmetric planar convex bodies<\/a><\/em>, Results Math. <strong>77<\/strong> (2022), paper no. 9, 15 pp.<\/li>\n<\/ul>\n\n\n\n<p><strong>2021<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>G. Giovannardi, M. Ritor\u00e9, <a href=\"https:\/\/doi.org\/10.1016\/j.jde.2021.08.040\">Regularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group $\\mathbb{H}^1$<\/a>. J. Differential Equations <strong>302<\/strong> (2021) 474\u2013495. <a href=\"http:\/\/arxiv.org\/abs\/2010.14882\">arXiv:2010.14882<\/a>.<\/li>\n\n\n\n<li>G. Citti, G. Giovannardi, M. Ritor\u00e9, <em><a href=\"https:\/\/www.ugr.es\/~ritore\/preprints\/1905.05131.pdf\">Variational formulas for submanifolds of fixed degree<\/a><\/em>. Calc. Var. PDE <strong>60<\/strong>, no. 6 (2021) Paper No. 233, 44 pp. <a href=\"https:\/\/arxiv.org\/abs\/1905.05131\" target=\"_blank\" rel=\"noreferrer noopener\">arXiv:1905.05131<\/a>.<\/li>\n\n\n\n<li>S. Nicolussi Golo, M. Ritor\u00e9, <a href=\"http:\/\/wpd.ugr.es\/~ritore\/papers\/area-minimizing-cones-arxiv-v2.pdf\">Area-minimizing cones in the Heisenberg group $\\mathbb{H}^1$<\/a>, Annales Fennici Mathematica <strong>46<\/strong>, no. 2 (2021) 945\u2013956. <a href=\"http:\/\/arxiv.org\/abs\/2008.04027\" target=\"_blank\" rel=\"noreferrer noopener\">arXiv:2008.0427<\/a>.<\/li>\n\n\n\n<li>M. Ritor\u00e9, <em><a href=\"http:\/\/dx.doi.org\/10.1515\/acv-2017-0011\" target=\"_blank\" rel=\"noreferrer noopener\">Tubular neighborhoods in the sub-Riemannian Heisenberg groups<\/a><\/em>, Adv. Calc. Var. <strong>14<\/strong>, no. 1 (2021) 1-36. <a href=\"http:\/\/arxiv.org\/abs\/1703.01592\" target=\"_blank\" rel=\"noreferrer noopener\">arXiv:1703.01592<\/a>.<\/li>\n\n\n\n<li>C. Rosales, <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0362546X20303515\"><em>Stable and isoperimetric regions in some weighted manifolds with boundary<\/em><\/a>, Nonlinear Anal.<strong> 205<\/strong> (2021), paper no. 112217, 24 pp. <\/li>\n\n\n\n<li>A. Ca\u00f1ete, B. Gonz\u00e1lez-Merino, <em><a href=\"https:\/\/ems.press\/journals\/rmi\/articles\/17245\">On the isodiametric and isominwidth inequalities for planar bisections<\/a><\/em>, Rev. Mat. Iberoam. <strong>37<\/strong>, no. 4 (2021), 1247-1275. <a href=\"https:\/\/arxiv.org\/abs\/1903.06461\">arxiv:1903.06461<\/a>. <\/li>\n<\/ul>\n\n\n\n<p><strong>2020<\/strong> <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. Hurtado, C. Rosales, <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00526-020-01834-1\"><em>An instability criterion for volume-preserving area-stationary surfaces with singular curves in sub-Riemannian 3-space forms<\/em><\/a>, Calc. Var. Partial Differential Equations <strong>59<\/strong> (2020), paper no. 165, 35 pp. <a href=\"https:\/\/arxiv.org\/abs\/2002.12057\">arXiv:2002.12057<\/a>.<\/li>\n\n\n\n<li>A. Hurtado, V. Palmer, C. Rosales, <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022247X20306508\"><em>Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds<\/em><\/a>, J. Math. Anal. Appl.<strong> 492<\/strong>, no. 2 (2020), paper no. 124488, 41 pp.<\/li>\n\n\n\n<li>A. Hurtado, V. Palmer, C. Rosales, <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0362546X19303347\"><em>Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights<\/em><\/a>, Nonlinear Anal.<strong> 192<\/strong> (2020), paper no. 111681, 32 pp. <a href=\"https:\/\/arxiv.org\/abs\/1805.10055\">arxiv:1805.10055<\/a>.<\/li>\n\n\n\n<li>A. Hurtado, S. Markvorsen, V. Palmer, <em><a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-3-030-55293-0_1\">Distance Geometric Analysis on Manifolds<\/a><\/em>,\u00a0In: Global Riemannian Geometry: Curvature and Topology<em>,\u00a0<\/em>Advanced Courses in Mathematics &#8211; CRM Barcelona (Second Edition). Birkh\u00e4user, Cham., 2020.<\/li>\n\n\n\n<li>A. Ca\u00f1ete, U. Schnell, <em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00025-019-1135-3\">Borsuk number for planar convex bodies<\/a><\/em>, Results. Math. <strong>75<\/strong> (2020), paper no. 14, 11 pp. <a href=\"https:\/\/arxiv.org\/abs\/2311.13903\">arxiv:2311.13903<\/a>.<\/li>\n<\/ul>\n\n\n\n<p><strong>2019<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. Ca\u00f1ete, S. Segura Gomis, <em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00009-019-1411-1\">Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter<\/a><\/em>, Mediterr. J. Math. <strong>16<\/strong> (2019), paper no. 151, 19 pp. <a href=\"https:\/\/arxiv.org\/abs\/1803.00321\">arxiv:1803.00321<\/a>.<\/li>\n<\/ul>\n\n\n\n<p><strong>2018<\/strong><\/p>\n\n\n\n<p><strong>2017<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. Hurtado, C. Rosales, <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0362546X17300093\"><em>Strongly stable surfaces in sub-Riemannian 3-space forms<\/em><\/a>, Nonlinear Anal.<strong> 155<\/strong> (2017), 115-139.<\/li>\n<\/ul>\n\n\n\n<p><strong>2016<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. Ca\u00f1ete, <em><a href=\"https:\/\/mia.ele-math.com\/19-25\/The-maximum-relative-diameter-for-multi-rotationally-symmetric-planar-convex-bodies\">The maximum relative diameter for multi-rotationally symmetric planar convex bodies<\/a><\/em>, Math. Inequal. Appl. <strong>19<\/strong>, no. 1 (2016), 335-347.<\/li>\n\n\n\n<li>A. Ca\u00f1ete, U. Schnell, S. Segura Gomis, <em><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022247X15009968\">Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter<\/a><\/em>,&nbsp;J. Math. Anal. Appl. <strong>435<\/strong>, no. 1 (2016), 718-734.<\/li>\n\n\n\n<li>A. Hurtado, S. Markvorsen, V. Palmer, <em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00208-015-1316-7\">Estimates of the first Dirichlet eigenvalue from exit time moment spectra<\/a><\/em>,&nbsp;Math. Ann.&nbsp;<strong>365<\/strong>, no. 3-4 (2016), 1603-1632.<\/li>\n<\/ul>\n\n\n\n<p><strong>2015<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. Hurtado, C. Rosales, <a href=\"http:\/\/link.springer.com\/article\/10.1007\/s00526-015-0898-y?wt_mc=email.event.1.SEM.ArticleAuthorOnlineFirst\"><em>Existence, characterization and stability of Pansu spheres in sub-Riemannian 3-space forms<\/em><\/a>, Calc. Var. Partial Differential Equations<em> <\/em><strong>54<\/strong>, no. 3<em> <\/em>(2015), 3183-3227. <a href=\"https:\/\/arxiv.org\/abs\/1501.04886\">arxiv:1501.04886<\/a>.<\/li>\n<\/ul>\n\n\n\n<p><strong>2014<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>C. Rosales, <a href=\"http:\/\/www.degruyter.com\/view\/j\/agms.2014.2.issue-1\/agms-2014-0014\/agms-2014-0014.xml?format=INT\"><em>Isoperimetric and stable sets for log-concave perturbations of Gaussian measures<\/em><\/a>, Anal. Geom. Metr. Spaces<em> <\/em><strong>2<\/strong>, no. 1 (2014),<em> <\/em>328-358.<\/li>\n\n\n\n<li>A. Ca\u00f1ete, C. Rosales, <a href=\"http:\/\/link.springer.com\/article\/10.1007\/s00526-013-0699-0\"><em>Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities<\/em><\/a>,<em> <\/em>Calc. Var. Partial Differential Equations<em> <\/em><strong>51<\/strong>, no. 3-4 (2014), 887-913. <a href=\"https:\/\/arxiv.org\/abs\/1304.1438\">arxiv:1304.1438<\/a>.<\/li>\n\n\n\n<li>K. Castro, C. Rosales, <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0393044014000205\"><em>Free boundary stable hypersurfaces in manifolds with density and rigidity results<\/em><\/a>, J. Geom. Phys.<em> <\/em><strong>79<\/strong> (2014), 14-28.<\/li>\n\n\n\n<li>A. Ca\u00f1ete, C. Miori, S. Segura Gomis, <em><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022247X14003928\">Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter<\/a><\/em>,&nbsp;J. Math. Anal. Appl. <strong>418<\/strong>, no. 2 (2014), 1030-1046.<\/li>\n<\/ul>\n\n\n\n<p><strong>2013<\/strong><\/p>\n\n\n\n<p><strong>2012<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>C. Rosales, <a href=\"http:\/\/link.springer.com\/article\/10.1007%2Fs00526-011-0412-0\"><em>Complete stable CMC surfaces with empty singular set in Sasakian sub-Riemannian 3-manifolds<\/em><\/a>, Calc. Var. Partial Differential Equations<strong> 43<\/strong>, no. 3-4 (2012), 311-345. <a href=\"https:\/\/arxiv.org\/abs\/1007.2597\">arxiv:1007.2597<\/a>.<\/li>\n\n\n\n<li>A. Ca\u00f1ete, <em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00526-011-0467-y\">A new bound on the Morse index of constant mean curvature tori of revolution in $\\mathbb{S}^3$<\/a><\/em>, Calc. Var. Partial Differential Equations<em> <\/em><strong>45<\/strong>, no. 3-4 (2012), 467-479. <a href=\"https:\/\/arxiv.org\/abs\/1102.1565\">arxiv:1102.1565<\/a>.<\/li>\n\n\n\n<li>A. Hurtado, V. Palmer, M. Ritor\u00e9, <em><a href=\"https:\/\/www.jstor.org\/stable\/24904056\">Comparison results for capacity<\/a><\/em>, Indiana Univ. Math. J.&nbsp;<strong>61<\/strong> (2012), 539-555.<\/li>\n<\/ul>\n\n\n\n<p><strong>2011<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. Hurtado, C. Rosales, <a href=\"http:\/\/www.ugr.es\/%7Ecrosales\/papers\/stable_sphere.pdf\"><em>Estabilidad de superficies en la 3-esfera sub-riemanniana<\/em><\/a>, Florentino Garc\u00eda Santos: in memoriam, Editorial Universidad de Granada, volumen <strong>224<\/strong> (2011), 87-94.<\/li>\n<\/ul>\n\n\n\n<p><strong>2010<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. Hurtado, M. Ritor\u00e9, C. Rosales, <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0001870809003703\"><em>The classification of complete stable area-stationary surfaces in the Heisenberg group $\\mathbb{H}^1$<\/em><\/a>, Adv. Math.<em> <\/em><strong>224<\/strong>, no. 2 (2010), 561-600.<\/li>\n\n\n\n<li>A. Ca\u00f1ete, M. Miranda Jr., D. Vittone, <em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s12220-009-9109-4\">Some isoperimetric problems in planes with density<\/a><\/em>.&nbsp;J. Geom. Anal. <strong>20<\/strong>, no. 2 (2010), 243-290. <a href=\"https:\/\/arxiv.org\/abs\/0906.1256\">arxiv:0906.1256<\/a>.<\/li>\n<\/ul>\n\n\n\n<p><strong>2009<\/strong><\/p>\n\n\n\n<p><strong>2008<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M. Ritor\u00e9, C. Rosales, <a href=\"http:\/\/www.mat.unb.br\/%7Ematcont\/35_12.pdf\"><em>Area-stationary and stable surfaces in the sub-Riemannian Heisenberg group $\\mathbb{H}^1$<\/em><\/a>, Mat. Contemp.<strong> 35<\/strong> (2008), 185-203.<\/li>\n\n\n\n<li>V. Bayle, A. Ca\u00f1ete, C. Rosales, F. Morgan, <a href=\"http:\/\/link.springer.com\/article\/10.1007\/s00526-007-0104-y\"><em>On the isoperimetric problem in Euclidean space with density<\/em><\/a>, Calc. Var. Partial Differential Equations<strong> 31<\/strong>, no. 1 (2008), 27-46. <a href=\"https:\/\/arxiv.org\/abs\/math\/0602135\">arxiv:0602135<\/a>.<\/li>\n\n\n\n<li>A. Hurtado, C. Rosales, <a href=\"http:\/\/link.springer.com\/article\/10.1007\/s00208-007-0165-4\"><em>Area-stationary surfaces inside the sub-Riemannian three-sphere<\/em><\/a>, Math. Ann.<strong> 340<\/strong>, no. 3 (2008), 675-708. <a href=\"https:\/\/arxiv.org\/abs\/math\/0608067\">arxiv:0608067<\/a>.<\/li>\n\n\n\n<li>M. Ritor\u00e9, C. Rosales, <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0001870808001503\"><em>Area-stationary surfaces in the Heisenberg group $\\mathbb{H}^1$<\/em><\/a>, Adv. Math.<strong> 219<\/strong>, no. 2 (2008), 633-671.<\/li>\n\n\n\n<li>A. Ca\u00f1ete, M. Ritor\u00e9, <em><a href=\"https:\/\/www.cambridge.org\/core\/journals\/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics\/article\/abs\/isoperimetric-problem-in-complete-annuli-of-revolution-with-increasing-gauss-curvature\/8B271E704214D1226DA8AF0ACC3C30B8\">The isoperimetric problem in complete annuli of revolution with increasing Gauss curvature<\/a><\/em>, Proc. R. Soc. Edinb. A: Math. <strong>138<\/strong>, no. 5 (2008), 989-1003.<\/li>\n<\/ul>\n\n\n\n<p><strong>2007<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. Ca\u00f1ete, <em><a href=\"https:\/\/www.jstor.org\/stable\/24902744\">Stable and isoperimetric regions in rotationally symmetric tori with decreasing Gauss curvature<\/a><\/em>, Indiana Univ. Math. J.&nbsp;<strong>56<\/strong>, no. 4 (2007), 1629-1659. <a href=\"https:\/\/arxiv.org\/abs\/math\/0604419\">arxiv:0604419<\/a>.<\/li>\n<\/ul>\n\n\n\n<p><strong>2006<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M. Ritor\u00e9, C. Rosales, <a href=\"http:\/\/link.springer.com\/article\/10.1007\/BF02922137\"><em>Rotationally invariant hypersurfaces with constant mean curvature in the Heisenberg group $\\mathbb{H}^n$<\/em><\/a>, J. Geom. Anal.<strong> 16<\/strong>, no. 4 (2006), 703-720. <a href=\"https:\/\/arxiv.org\/abs\/math\/0504439\">arxiv:0504439<\/a>.<\/li>\n<\/ul>\n\n\n\n<p><strong>2005<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>V. Bayle, C. Rosales, <a href=\"http:\/\/www.iumj.indiana.edu\/IUMJ\/FULLTEXT\/2005\/54\/2575\"><em>Some isoperimetric comparison theorems for convex bodies in Riemannian manifolds<\/em><\/a>, Indiana Univ. Math. J.<em><strong> <\/strong><\/em><strong>54<\/strong>, no. 5 (2005), 1371-1394. <a href=\"https:\/\/arxiv.org\/abs\/math\/0311304\">arxiv:0311304<\/a>.<\/li>\n<\/ul>\n\n\n\n<p><strong>2004<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M. Ritor\u00e9, C. Rosales, <a href=\"https:\/\/www.ams.org\/journals\/tran\/2004-356-11\/S0002-9947-04-03537-8\/\"><em>Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones<\/em><\/a>, Trans. Amer. Math. Soc.<strong> 356<\/strong>, no. 11 (2004), 4601-4622.<\/li>\n\n\n\n<li>A. Ca\u00f1ete, M. Ritor\u00e9, <em><a href=\"https:\/\/www.jstor.org\/stable\/24903480\">Least-perimeter partitions of the disk into three regions of given areas<\/a><\/em>.&nbsp;Indiana Univ. Math. J. <strong>53<\/strong>, no. 3 (2004), 883-904. <a href=\"https:\/\/arxiv.org\/abs\/math\/0307207\">arxiv:0307207<\/a>.<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-21","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wpd.ugr.es\/~isoperimetric\/wp-json\/wp\/v2\/pages\/21","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpd.ugr.es\/~isoperimetric\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wpd.ugr.es\/~isoperimetric\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~isoperimetric\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~isoperimetric\/wp-json\/wp\/v2\/comments?post=21"}],"version-history":[{"count":70,"href":"https:\/\/wpd.ugr.es\/~isoperimetric\/wp-json\/wp\/v2\/pages\/21\/revisions"}],"predecessor-version":[{"id":197,"href":"https:\/\/wpd.ugr.es\/~isoperimetric\/wp-json\/wp\/v2\/pages\/21\/revisions\/197"}],"wp:attachment":[{"href":"https:\/\/wpd.ugr.es\/~isoperimetric\/wp-json\/wp\/v2\/media?parent=21"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}