Bernstein-type theorem for stationary hypersurfaces of the Euler-Dierkes-Huisken functional

Hongbin Cui, Jiahuan Li, Xiaowei Xu

We say that a hypersurface $\hat{I}\pounds \subset {\mathbb{R}}^{n+1}$ is $\hat{I}\pm$-stationary if it is a critical point of the Euler-Dierkes-Huisken functional $\mathcal{E}_α(Σ)=\int_Σ|X|^α\, d\ma…