F. Martín

collaborators

3 papers

math.DG2026

Minimal surfaces with rapid area growth

Tobias Holck Colding, Francisco MartÃn, Francisco Martín +1

We give examples of proper minimal immersions in Euclidean space with very rapid area growth. The first is a proper embedding into $R^{4}$ that yields a stable minimal surface,…

math.DG2025

Graphical Translators for Mean Curvature Flow

David Hoffman, Tom Ilmanen, Francisco Martin +1

In this paper we provide a full classification of complete translating graphs in $R^{3}$ . We also construct two $(n - 1)$ -parameter families of new examples of translating gra…

math.DG2025

Complete proper minimal surfaces in convex bodies of $R^{3}$ (II): The behavior of the limit set

Francisco Martin, Santiago Morales

Let $D$ be a regular strictly convex bounded domain of $R^{3}$ , and consider a regular Jordan curve $I^ \subset \partial D$ . Then, for each $I^µ > 0$ , we obtain the existence of…

Minimal surfaces with rapid area growth

Graphical Translators for Mean Curvature Flow

Complete proper minimal surfaces in convex bodies of R3 (II): The behavior of the limit set

Complete proper minimal surfaces in convex bodies of $R^{3}$ (II): The behavior of the limit set