DOI: 10.1515/crelle-2026-0052 ISSN: 0075-4102
Classification of semigraphical translators
Francisco Martín, Mariel Sáez, Raphael Tsiamis, Brian White 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.