Boundary regularity for anisotropic minimal Lipschitz graphs

Antonio De Rosa, Reinaldo Resende · Communications in Partial Differential Equations · 2023

We prove that m-dimensional Lipschitz graphs in any codimension with C1,α boundary and anisotropic mean curvature bounded in Lp, p > m, are regular at every boundary point with density bounded above by 1/2+σ, provided the anisotropic energy satisfies the uniform scalar atomic condition.

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