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20032025
most citedFree boundary stable hypersurfaces in manifolds with density and rigidity results

30 citations · 87 across the 21 of their papers we have counts for

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math.DG2025

On the anisotropic partitioning problem in Euclidean convex domains

César Rosales

We consider the variational problem of minimizing an anisotropic perimeter functional under a volume constraint in a Euclidean convex domain. We extend to this setting analytical p…

math.DG2023

Compact anisotropic stable hypersurfaces with free boundary in convex solid cones

César Rosales

We consider a convex solid cone with vertex at the origin and boundary smooth away from . Our main result shows that a…

math.DG2022

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

César Rosales

In a round ball endowed with an -invariant metric we consider a radial function that weights volume and area. We prove that a compact two-sided h…

math.DG2022

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

Katherine Castro, César Rosales

For a Riemannian manifold , possibly with boundary, we consider the Riemannian product with a smooth positive function that weights the Riemannian measures…

math.DG2021

Area-minimizing properties of Pansu spheres in the sub-riemannian -sphere

Ana Hurtado, César Rosales

We consider the sub-Riemannian -sphere obtained by restriction of the Riemannian metric of constant curvature to the planar distribution orthogonal to t…

math.DG2020

Stable and isoperimetric regions in some weighted manifolds with boundary

César Rosales

In a Riemannian manifold with a smooth positive function that weights the associated Hausdorff measures we study stable sets, i.e., second order minima of the weighted perimeter un…