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arXiv · 2308.04997

On the Lawson-Osserman conjecture

Jonas Hirsch·Connor Mooney·Riccardo Tione
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Abstract

We prove that if $u : B_1 \subset \mathbb{R}^2 \rightarrow \mathbb{R}^n$ is a Lipschitz critical point of the area functional with respect to outer variations, then $u$ is smooth. This solves a conjecture of Lawson and Osserman from 1977 in the planar case.

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Jonas Hirsch, Connor Mooney, Riccardo Tione. 2023-08-09. On the Lawson-Osserman conjecture. https://arxiv.org/abs/2308.04997

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