S. Nardulli

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20242026

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math.AP2025

Multiplicity of solutions for Gross-Pitaevskii equations on Riemannian manifolds

Dario Corona, Stefano Nardulli, Ramon Oliver-Bonafoux +1

We provide a multiplicity result for solutions of time-independent Gross-Pitaevskii equations on closed Riemannian manifolds. Such solutions arise as (possibly non-minimizing) crit…

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…

Multiplicity of solutions for Gross-Pitaevskii equations on Riemannian manifolds

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

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