A Bernstein result for minimal graphs of controlled growth (Q910719)

The authors extend Bernstein's theorem as follows: An entire smooth solution u of the minimal surface equation on \({\mathbb{R}}^ n\), \(div(Du/\sqrt{1+| Du|^ 2})=0,\) satisfying \(| Du(x)| =o(\sqrt{| x|^ 2+| u(x)|^ 2})\) is an affine function.