A uniqueness result for maximal surfaces in Minkowski 3-space

Abstract

In this paper, we study the Dirichlet problem associated to the maximal surface equation. We prove the uniqueness of bounded solutions to this problem in unbounded domain in R. Introduction We consider the Minkowski space-time L3 i.e. R3 with the following pseudoeuclidean metric 〈x, y〉 = x1y1 + x2y2 − x3y3. We define |x| 2 L = 〈x, x〉. A vector is said to be… (More)

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