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math.AP2023★ 1 cited
Lipschitz approximation for general almost area minimizing currents
Reinaldo Resende
We prove a Lipschitz approximation with superlinear error terms for integral currents -minimizing the area functional, where is a modulus of continuity satisfying a Dini con…
math.AP2023★ 1 cited
Boundary regularity for anisotropic minimal Lipschitz graphs
Antonio De Rosa, Reinaldo Resende
We prove that -dimensional Lipschitz graphs in any codimension with boundary and anisotropic mean curvature bounded in , , are regular at every boundary po…