2024

• G. Giovannardi, M. Ritoré, The Bernstein problem for $(X,Y)$-Lipschitz surfaces in three-dimensional sub-Finsler Heisenberg groups, Commun. Contemp. Math. 26 (2024), no. 9, Paper No. 2350048, 38 pp.. arXiv:2105.02179.
• C. Rosales, A note on the anisotropic Bernstein problem in $\mathbb{R}^3$, Proc. Amer. Math. Soc. Ser. B. 11 (2004), 105-114.

2023

• M. Ritoré, Isoperimetric inequalities in Riemannian manifolds, Progress in Mathematics 348, Birkhauser Verlag, 2023.
• M. Ritoré, On the geometry of metric spaces, Notices AMS 70, no. 9 (2023) 1417–1425 .
• G. Giovannardi, J. Pozuelo, M. Ritoré, Area-minimizing horizontal graphs with low-regularity in the sub-Finsler Heisenberg group $\mathbb{H}^1$, New Trends in Geometric Analysis, RSME Springer Series 10, 2023, pp. 209–226.
• S. Barbero, M. Ritoré, Extended-depth-of-focus wavefront design from pseudo-umbilical space curves, Journal of the Optical Society of America A 40, no. 10 (2023).
• J. Pozuelo, M. Ritoré, Pansu-Wulff shapes in $\mathbb{H}^1$. Adv. Calc. Var. 16 , no. 1 (2023) 69–98. arXiv:2007.04683.
• C. Rosales, Compact anisotropic stable hypersurfaces with free boundary in convex solid cones, Calc. Var. Partial Differential Equations 62, no. 6 (2023), 185.
• A. Hurtado, C. Rosales, Area-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphere, Adv. Calc. Var. 16, no. 3 (2023), 689-704. arXiv:2106.005661.
• C. Rosales, Stable capillary hypersurfaces and the partitioning problem in balls with radial weights, Nonlinear Anal. 233 (2023), paper no. 113291, 21 pp.
• A. Cañete, I. Fernández, A. Márquez, Optimal divisions of a convex body, Math. Inequal. Appl. 26, no. 2 (2023), 315-342.
• V. Gimeno, A. Hurtado, First Dirichlet Eigenvalue and Exit Time Moments: A Survey, New Trends in Geometric Analysis, RSME Springer Series 10, 2023, pp. 191–208.

2022

• G. P. Leonardi, M. Ritoré, E. Vernadakis, Isoperimetric inequalities in unbounded convex bodies, Mem. Amer. Math. Soc. 276, no. 1354 (2022). arXiv:1606.03906.
• G. Citti, G. Giovannardi, M. Ritoré, Variational formulas for curves of fixed degree. Adv. Differential Equations 27, no. 5-6 (2022) 333–384. arXiv:1902.04015.
• K. Castro, C. Rosales, Uniqueness results and enclosure properties for hypersurfaces with boundary in weighted cylinders, J. Math. Anal. Appl. 512, no. 1 (2022), paper no. 126143, 19 pp.
• A. Cañete, Cheeger sets for rotationally symmetric planar convex bodies, Results Math. 77 (2022), paper no. 9, 15 pp.

2021

• G. Giovannardi, M. Ritoré, Regularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group $\mathbb{H}^1$. J. Differential Equations 302 (2021) 474–495. arXiv:2010.14882.
• G. Citti, G. Giovannardi, M. Ritoré, Variational formulas for submanifolds of fixed degree. Calc. Var. PDE 60, no. 6 (2021) Paper No. 233, 44 pp. arXiv:1905.05131.
• S. Nicolussi Golo, M. Ritoré, Area-minimizing cones in the Heisenberg group $\mathbb{H}^1$, Annales Fennici Mathematica 46, no. 2 (2021) 945–956. arXiv:2008.0427.
• M. Ritoré, Tubular neighborhoods in the sub-Riemannian Heisenberg groups, Adv. Calc. Var. 14, no. 1 (2021) 1-36. arXiv:1703.01592.
• C. Rosales, Stable and isoperimetric regions in some weighted manifolds with boundary, Nonlinear Anal. 205 (2021), paper no. 112217, 24 pp.
• A. Cañete, B. González-Merino, On the isodiametric and isominwidth inequalities for planar bisections, Rev. Mat. Iberoam. 37, no. 4 (2021), 1247-1275. arxiv:1903.06461.

2020

• A. Hurtado, C. Rosales, An instability criterion for volume-preserving area-stationary surfaces with singular curves in sub-Riemannian 3-space forms, Calc. Var. Partial Differential Equations 59 (2020), paper no. 165, 35 pp. arXiv:2002.12057.
• A. Hurtado, V. Palmer, C. Rosales, Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds, J. Math. Anal. Appl. 492, no. 2 (2020), paper no. 124488, 41 pp.
• A. Hurtado, V. Palmer, C. Rosales, Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights, Nonlinear Anal. 192 (2020), paper no. 111681, 32 pp. arxiv:1805.10055.
• A. Hurtado, S. Markvorsen, V. Palmer, Distance Geometric Analysis on Manifolds, In: Global Riemannian Geometry: Curvature and Topology, Advanced Courses in Mathematics – CRM Barcelona (Second Edition). Birkhäuser, Cham., 2020.
• A. Cañete, U. Schnell, Borsuk number for planar convex bodies, Results. Math. 75 (2020), paper no. 14, 11 pp. arxiv:2311.13903.

2019

• A. Cañete, S. Segura Gomis, Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter, Mediterr. J. Math. 16 (2019), paper no. 151, 19 pp. arxiv:1803.00321.

2018

2017

• A. Hurtado, C. Rosales, Strongly stable surfaces in sub-Riemannian 3-space forms, Nonlinear Anal. 155 (2017), 115-139.

2016

• A. Cañete, The maximum relative diameter for multi-rotationally symmetric planar convex bodies, Math. Inequal. Appl. 19, no. 1 (2016), 335-347.
• A. Cañete, U. Schnell, S. Segura Gomis, Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter, J. Math. Anal. Appl. 435, no. 1 (2016), 718-734.
• A. Hurtado, S. Markvorsen, V. Palmer, Estimates of the first Dirichlet eigenvalue from exit time moment spectra, Math. Ann. 365, no. 3-4 (2016), 1603-1632.

2015

• A. Hurtado, C. Rosales, Existence, characterization and stability of Pansu spheres in sub-Riemannian 3-space forms, Calc. Var. Partial Differential Equations 54, no. 3 (2015), 3183-3227. arxiv:1501.04886.

2014

• C. Rosales, Isoperimetric and stable sets for log-concave perturbations of Gaussian measures, Anal. Geom. Metr. Spaces 2, no. 1 (2014), 328-358.
• A. Cañete, C. Rosales, Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities, Calc. Var. Partial Differential Equations 51, no. 3-4 (2014), 887-913. arxiv:1304.1438.
• K. Castro, C. Rosales, Free boundary stable hypersurfaces in manifolds with density and rigidity results, J. Geom. Phys. 79 (2014), 14-28.
• A. Cañete, C. Miori, S. Segura Gomis, Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter, J. Math. Anal. Appl. 418, no. 2 (2014), 1030-1046.

2013

2012

• C. Rosales, Complete stable CMC surfaces with empty singular set in Sasakian sub-Riemannian 3-manifolds, Calc. Var. Partial Differential Equations 43, no. 3-4 (2012), 311-345. arxiv:1007.2597.
• A. Cañete, A new bound on the Morse index of constant mean curvature tori of revolution in $\mathbb{S}^3$, Calc. Var. Partial Differential Equations 45, no. 3-4 (2012), 467-479. arxiv:1102.1565.
• A. Hurtado, V. Palmer, M. Ritoré, Comparison results for capacity, Indiana Univ. Math. J. 61 (2012), 539-555.

2011

• A. Hurtado, C. Rosales, Estabilidad de superficies en la 3-esfera sub-riemanniana, Florentino García Santos: in memoriam, Editorial Universidad de Granada, volumen 224 (2011), 87-94.

2010

• A. Hurtado, M. Ritoré, C. Rosales, The classification of complete stable area-stationary surfaces in the Heisenberg group $\mathbb{H}^1$, Adv. Math. 224, no. 2 (2010), 561-600.
• A. Cañete, M. Miranda Jr., D. Vittone, Some isoperimetric problems in planes with density. J. Geom. Anal. 20, no. 2 (2010), 243-290. arxiv:0906.1256.

2009

2008

• M. Ritoré, C. Rosales, Area-stationary and stable surfaces in the sub-Riemannian Heisenberg group $\mathbb{H}^1$, Mat. Contemp. 35 (2008), 185-203.
• V. Bayle, A. Cañete, C. Rosales, F. Morgan, On the isoperimetric problem in Euclidean space with density, Calc. Var. Partial Differential Equations 31, no. 1 (2008), 27-46. arxiv:0602135.
• A. Hurtado, C. Rosales, Area-stationary surfaces inside the sub-Riemannian three-sphere, Math. Ann. 340, no. 3 (2008), 675-708. arxiv:0608067.
• M. Ritoré, C. Rosales, Area-stationary surfaces in the Heisenberg group $\mathbb{H}^1$, Adv. Math. 219, no. 2 (2008), 633-671.
• A. Cañete, M. Ritoré, The isoperimetric problem in complete annuli of revolution with increasing Gauss curvature, Proc. R. Soc. Edinb. A: Math. 138, no. 5 (2008), 989-1003.

2007

• A. Cañete, Stable and isoperimetric regions in rotationally symmetric tori with decreasing Gauss curvature, Indiana Univ. Math. J. 56, no. 4 (2007), 1629-1659. arxiv:0604419.

2006

• M. Ritoré, C. Rosales, Rotationally invariant hypersurfaces with constant mean curvature in the Heisenberg group $\mathbb{H}^n$, J. Geom. Anal. 16, no. 4 (2006), 703-720. arxiv:0504439.

2005

• V. Bayle, C. Rosales, Some isoperimetric comparison theorems for convex bodies in Riemannian manifolds, Indiana Univ. Math. J. 54, no. 5 (2005), 1371-1394. arxiv:0311304.

2004

• M. Ritoré, C. Rosales, Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones, Trans. Amer. Math. Soc. 356, no. 11 (2004), 4601-4622.
• A. Cañete, M. Ritoré, Least-perimeter partitions of the disk into three regions of given areas. Indiana Univ. Math. J. 53, no. 3 (2004), 883-904. arxiv:0307207.