Schoen's Bernstein conjecture for stable minimal hypersurfaces in four-dimensional Euclidean space

Let $\Sigma^3\subset\mathbb{R}^4$ be a complete immersed $2$-sided stable minimal hypersurface. Schoen's Bernstein conjecture. $\Sigma$ is flat. The conjecture extends the Bernstein theorem for stable minimal hypersurfaces from $\mathbb{R}^3$ to $\mathbb{R}^4$; the supplied text says that this higher-dimensional result is not known.