*Published Paper*

**Inserted:** 14 jan 2016

**Last Updated:** 15 jan 2016

**Journal:** Ann. Sc. Norm. Super. Pisa Cl. Sci.

**Volume:** Vol. XIV

**Pages:** 1231-1237

**Year:** 2015

**Abstract:**

We prove the following Bernstein-type theorem: if $u$ is an entire solution to the minimal surface equation, such that $N-1$ partial derivatives $ \frac{\partial u }{\partial {x_j}}$ are bounded on one side (not necessarily the same), then $u$ is an affine function. Its proof relies only on the Harnack inequality on minimal surfaces proved in \cite{BG} thus, besides its novelty, our theorem also provides a new and self-contained proof of celebrated results of Moser and of Bombieri $\&$ Giusti.

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