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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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…

math.AP2020★ 3 cited

Ground states of semilinear elliptic equations

Rayssa Caju, Pedro Gaspar, Marco A. M. Guaraco +1

We study solutions of $Δ u - F^{'} (u) = 0$ , where the potential $F$ can have an arbitrary number of wells at arbitrary heights, including bottomless wells with subcritical decay. In our…