In this paper, we study the exterior problem for the maximal surface equation. We obtain the precise asymptotic behavior of the exterior solution at infinity. And we prove that the exterior Dirichlet problem is uniquely solvable given admissible boundary data and prescribed asymptotic behavior at infinity.

中文翻译：

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外域上的最大超曲面

在本文中，我们研究了极大曲面方程的外部问题。我们在无穷远处获得了外部解的精确渐近行为。我们证明了给定可接受的边界数据和规定的无穷远渐近行为，外部狄利克雷问题是唯一可解的。