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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Showing 2024 · math.APShow all

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math.AP2024★ 1 cited

On the regularity of area minimizing currents at boundaries with arbitrary multiplicity

Ian Fleschler, Reinaldo Resende

In this paper, we consider an area minimizing integral $m$ -current $T$ within a submanifold $Σ$ of $R^{m + n}$ , taking a boundary $Γ$ with arbitrary multiplicity $Q \in \mat…

math.AP2024

Interior regularity of area minimizing currents within a $C^{2, α}$ -submanifold

Stefano Nardulli, Reinaldo Resende

Given an area-minimizing integral $m$ -current in $Σ$ , we prove that the Hausdorff dimension of the interior singular set of $T$ cannot exceed $m - 2$ , provided that $Σ$ is an embedde…

On the regularity of area minimizing currents at boundaries with arbitrary multiplicity

Interior regularity of area minimizing currents within a C2,α-submanifold

Interior regularity of area minimizing currents within a $C^{2, α}$ -submanifold