27 citations · 52 across the 12 of their papers we have counts for
17 papers
Remarks on the critical catenoid and an overdetermined eigenvalue problem in
Rabah Souam
It was recently proved that an embedded minimal annulus with free boundary in the unit ball of the Euclidean space is, up to a rotation, the critical catenoid. We prove…
On stable capillary hypersurfaces with planar boundaries
Rabah Souam
We study stable immersed capillary hypersurfaces in domains B of R n+1 bounded by hyperplanes. When B is a half-space, we show is a spherical cap. When B is a domain bounde…
Mean curvature rigidity of horospheres, hyperspheres and hyperplanes Rabah Souam
Rabah Souam
We prove that horospheres, hyperspheres and hyperplanes in a hyperbolic space H n , n 3, admit no perturbations with compact support which increase their mean curvature. is i…
Stable constant mean curvature surfaces with free boundary in slabs
Rabah Souam
We study stable constant mean curvature (CMC) hypersurfaces in slabs in a product space where is an orientable Riemannian manifold. We obtain a characterizatio…
Stable capillary hypersurfaces in a half-space or a slab
Abdelhamid Ainouz, Rabah Souam
We study stable immersed capillary hypersurfaces in a domain which is either a half-space or a slab in the Euclidean space We prove that such a hypersu…
Capillary surfaces inside polyhedral regions
Antonio Alarcon, Rabah Souam
In this paper we provide a large new family of embedded capillary surfaces inside polyhedral regions in the Euclidean space. The angle of contact of the examples we furnish is pres…