17 citations · 23 across the 5 of their papers we have counts for
5 papers
Rotationally invariant hypersurfaces with constant mean curvature in the Heisenberg group H^n
Manuel Ritoré, César Rosales
In this paper we study sets in the -dimensional Heisenberg group $\hhn$ which are critical points, under a volume constraint, of the sub-Riemannian perimeter associated to the d…
Proof of the Double Bubble Conjecture
Michael Hutchings, Frank Morgan, Manuel Ritoré +1
We prove that the standard double bubble provides the least-area way to enclose and separate two regions of prescribed volume in \Bbb R^3.
Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones
Manuel Ritoré, César Rosales
We study the problem of existence of regions separating a given amount of volume with the least possible perimeter inside a Euclidean cone. Our main result shows that nonexistence…
Least-perimeter partitions of the disk into three regions of given areas
Antonio Cañete, Manuel Ritoré
We prove that the unique least-perimeter way of partitioning the unit 2-dimensional disk into three regions of prescribed areas is by means of the standard graph consisting in thre…
From constant mean curvature hypersurfaces to the gradient theory of phase transitions
Frank Pacard, Manuel Ritoré
We construct solutions of the Cahn-Hilliard equation whose nodal set converges to a given constant mean curvature hypersurface in a Riemannian manifold.