| Résume | We prove the following Bernstein-type theorem: if u is an entire solution to the minimal surface equation, such that N − 1 partial derivatives ∂u/∂xj are bounded on one side (not necessarily the same), then u is an affine function. Besides its novelty, our theorem also provides a new, simple and self-contained proof of celebrated results of Moser and of Bombieri & Giusti. |
