Publicaciones (22) Publicaciones de MANUEL CÉSAR ROSALES LOMBARDO

2023

  1. Area-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphere

    Advances in Calculus of Variations, Vol. 16, Núm. 3, pp. 689-704

  2. Compact anisotropic stable hypersurfaces with free boundary in convex solid cones

    Calculus of Variations and Partial Differential Equations, Vol. 62, Núm. 6

  3. Stable capillary hypersurfaces and the partitioning problem in balls with radial weights

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 233

2022

  1. Uniqueness results and enclosure properties for hypersurfaces with boundary in weighted cylinders

    Journal of Mathematical Analysis and Applications, Vol. 512, Núm. 1

2021

  1. Stable and isoperimetric regions in some weighted manifolds with boundary

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 205

2020

  1. An instability criterion for volume-preserving area-stationary surfaces with singular curves in sub-Riemannian 3-space forms

    Calculus of Variations and Partial Differential Equations, Vol. 59, Núm. 5

  2. Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds

    Journal of Mathematical Analysis and Applications, Vol. 492, Núm. 2

  3. Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 192

2017

  1. Strongly stable surfaces in sub-Riemannian 3-space forms

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 155, pp. 115-139

2015

  1. Existence, characterization and stability of Pansu spheres in sub-Riemannian 3-space forms

    Calculus of Variations and Partial Differential Equations, Vol. 54, Núm. 3, pp. 3183-3227

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. Free boundary stable hypersurfaces in manifolds with density and rigidity results

    Journal of Geometry and Physics, Vol. 79, pp. 14-28

  3. Isoperimetric and stable sets for log-concave perturbations of Gaussian measures

    Analysis and Geometry in Metric Spaces, Vol. 2, Núm. 1, pp. 328-358

2012

  1. Complete stable CMC surfaces with empty singular set in Sasakian sub-Riemannian 3-manifolds

    Calculus of Variations and Partial Differential Equations, Vol. 43, Núm. 3-4, pp. 311-345

2010

  1. The classification of complete stable area-stationary surfaces in the Heisenberg group H1

    Advances in Mathematics, Vol. 224, Núm. 2, pp. 561-600

2008

  1. Area-stationary surfaces in the Heisenberg group H1

    Advances in Mathematics, Vol. 219, Núm. 2, pp. 633-671

  2. Area-stationary surfaces inside the sub-Riemannian three-sphere

    Mathematische Annalen, Vol. 340, Núm. 3, pp. 675-708

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

2006

  1. Rotationally invariant hypersurfaces with constant mean curvature in the Heisenberg group H n

    Journal of Geometric Analysis, Vol. 16, Núm. 4, pp. 703-720

2005

  1. Some isoperimetric comparison theorems for convex bodies in Riemannian manifolds

    Indiana University Mathematics Journal, Vol. 54, Núm. 5, pp. 1371-1394