Work

Classification of semigraphical translators

Year: 2026

Type: article

Abstract: We complete the classification of semigraphical translators for mean curvature flow in 𝐑 3 {\mathbf{R}^{3}} that was initiated by Hoffman, Martín and White. Specifically, we show that there is no solution to the translator equation on the upper half-plane with alternating positive and negative infinite boundary values, and we prove the uniqueness of pitchfork and helicoid translators. The proofs use Morse–Radó theory for translators and an angular maximum principle.

Source: Journal für die reine und angewandte Mathematik (Crelles Journal)

DOI: 10.1515/crelle-2026-0052

Authors: Francisco Martín, Mariel Sáez, Raphael Tsiamis, Brian White

Institutions: Universidad de Granada, Pontificia Universidad Católica de Chile, Columbia University, Stanford University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green