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arXiv · 2305.11258

Boundary regularity for anisotropic minimal Lipschitz graphs

Antonio De Rosa·Reinaldo Resende
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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.

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Antonio De Rosa, Reinaldo Resende. 2023-05-18. Boundary regularity for anisotropic minimal Lipschitz graphs. https://doi.org/10.1080/03605302.2023.2294335

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