On the Lawson-Osserman conjecture
Abstract
Abstract We prove that if $u : B_{1} \subset \mathbb{R}^{2} \rightarrow \mathbb{R}^{n}$ u : B 1 ⊂ R 2 → R n is a Lipschitz critical point of the area functional with respect to outer variations, then $u$ u is smooth. This solves a conjecture of Lawson and Osserman from 1977 in the planar case.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Inventiones mathematicae
- Publisher
- Springer Science and Business Media LLC
- Publication date
- 14 August 2026
- Language
- EN