Marco Badran

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math.AP2025

Nonlocal free boundary minimal surfaces

Marco Badran, Serena Dipierro, Enrico Valdinoci

We introduce the nonlocal analogue of the classical free boundary minimal hypersurfaces in an open domain $Ω$ of $R^{n}$ as the (boundaries of) critical points of the fracti…

math.AP2025

Stationary $p$ -harmonic maps approaching planar singular harmonic maps to the circle

Marco Badran, Jean Van Schaftingen

Given a bounded planar domain $Ω \subset R^{2}$ , we show that any singular harmonic map into the circle $S^{1}$ corresponding to a topologically nondegenerate critical…

Nonlocal free boundary minimal surfaces

Stationary p-harmonic maps approaching planar singular harmonic maps to the circle

Stationary $p$ -harmonic maps approaching planar singular harmonic maps to the circle