极小曲面方程Bernstein定理的一个推广

An extension to Bernstein theorem on minimal surface equation

本文在一个平面有界集合外部考虑极小曲面方程,借助Monge-Ampère方程的性质,得到了解在无穷远处的渐近行为,扩展了经典的Bernstein定理.

By using the property of Monge-Ampère equations, we give an asymptotic behavior at infinity of solutions of the minimal surface equations outside a bounded plane set, which extends the classical Bernstein theorem.