Boundary regularity for anisotropic minimal Lipschitz graphs

Abstract

We prove that $m$-dimensional Lipschitz graphs in any codimension with $C^{1,\alpha }$ boundary and anisotropic mean curvature bounded in $L^p$, $p>m$, are regular at every boundary point with density bounded above by $1/2+\sigma$, provided the anisotropic energy satisfies the uniform scalar atomic condition.

References in corpus (2)

• Q-valued functions revisited
• Equivalence of the ellipticity conditions for geometric variational problems