Marco Badran

collaborators

3 papers

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…

math.DG2024

Harmonic maps to the circle with higher dimensional singular set

Marco Badran

In a closed, oriented ambient manifold $(M^{n}, g)$ we consider the problem of finding $S^{1}$ -valued harmonic maps with prescribed singular set. We show that the boundary of a…

Nonlocal free boundary minimal surfaces

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

Harmonic maps to the circle with higher dimensional singular set

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