Marco A. M. Guaraco

activity

20152026

most citedMultiplicity one and strictly stable Allen-Cahn minimal hypersurfaces

7 citations · 11 across the 9 of their papers we have counts for

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Showing 2026Show all

3 papers · 1 filter

math.DG2026

White's cone over the Möbius band is area-minimising

Marco A. M. Guaraco, Davide Parise

We prove that the cone $C (Σ)$ in $R^{4}$ over a suitable minimal Möbius band $Σ \subset S^{3}$ is locally mass-minimising with coefficients in $Z_{2}$ . This proves…

math.DG2026

Integral curvature estimates and geodesic limits for stable abelian Higgs fields

Marco Badran, Marco A. M. Guaraco, Aria Halavati

We prove that, on closed three-manifolds, the limit interface of a sequence of stable abelian Higgs critical points with uniformly bounded energy is a finite union of smooth closed…

math.AP2026

A two-dimensional Allen-Cahn theory for interfaces with boundary

Marco Badran, Manuel del Pino, Marco A. M. Guaraco

We develop a two-dimensional Allen-Cahn theory for interfaces with boundary in the line-bundle framework introduced by Fröhlich and Struwe. The central new object is a model soluti…