Stable capillary hypersurfaces in a half-space or a slab

Abdelhamid Ainouz, Rabah Souam

We study stable immersed capillary hypersurfaces in a domain $\mathcal{B}$ which is either a half-space or a slab in the Euclidean space ${\mathbb{R}}^{n+1}.$ We prove that such a hypersu…