Stable anisotropic minimal hypersurfaces in R4.

We show that a complete, two-sided, stable immersed anisotropic minimal hypersurface in R4 has intrinsic cubic volume growth, provided the parametric elliptic integral is C²-close to the area functional. We also obtain an interior volume upper bound for stable anisotropic minimal hypersurfaces in the unit ball. We can estimate the constants explicitly in all of our results. In particular, this paper gives an alternative proof of our recent stable Bernstein theorem for minimal hypersurfaces in R4. The new proof is more closely related to techniques from the study of strictly positive scalar curvature. [ABSTRACT FROM AUTHOR]