Every smooth complete connected embedded α-stationary hypersurface through the origin in R^{n+1} is a linear hyperplane for α > 0.
López, Two classification results for stationary surfaces of the least moment of inertia , arXiv:2507.12398
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Bernstein-type theorem for stationary hypersurfaces of the Euler-Dierkes-Huisken functional
Every smooth complete connected embedded α-stationary hypersurface through the origin in R^{n+1} is a linear hyperplane for α > 0.