Reinaldo Resende

collaborators

3 papers

math.AP2025

Rigidity of critical points of hydrophobic capillary functionals

Antonio De Rosa, Robin Neumayer, Reinaldo Resende

We prove the rigidity, among sets of finite perimeter, of volume-preserving critical points of the capillary energy in the half space, in the case where the prescribed interior con…

math.AP2025

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 $I^£$ of $R^{m + n}$ , taking a boundary $I^$ with arbitrary multiplicity $Q \in \m…

math.AP2025

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

Stefano Nardulli, Reinaldo Resende

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

Rigidity of critical points of hydrophobic capillary functionals

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

Interior regularity of area minimizing currents within a C2,I^±-submanifold

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