Reinaldo Resende

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20222026

most citedDensity of the boundary regular set of 2d area minimizing currents with arbitrary codimension and multiplicity

2 citations · 6 across the 7 of their papers we have counts for

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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 $ω$ -minimizing the area functional, where $ω$ 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 $m$ -dimensional Lipschitz graphs in any codimension with $C^{1, α}$ boundary and anisotropic mean curvature bounded in $L^{p}$ , $p > m$ , are regular at every boundary po…