Stable Capillary Minimal Hypersurfaces in ${\mathbb{R}}_{+}^4$

Jia Li, Chenghang Lu, Chao Xia

We prove that a complete, two-sided, stable capillary minimal hypersurface in ${\mathbb{R}}_{+}^4$ is flat provided its contact angle $\theta$ satisfies $|\cot \theta |<{\kappa }_{\ast }$, where $κ_*=4Γ(3/4)^2/Γ(1/4)^2…