Resumen de A Bernstein-type result for the minimal surface equation
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.
Its proof relies only on the Harnack inequality on minimal surfaces proved in [4] thus, besides its novelty, our theoremalso provides a new and self-contained proof of celebrated results of Moser and of Bombieri and Giusti.
