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학술저널

MINIMAL GRAPHS WITH PLANAR ENDS

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In this article, we consider an unbounded minimal graphM ½ R3 which is contained in a slab. Assume that @M consists of two Jordan curves lying in parallel planes, which is symmetric with the re°ection under a plane. If the asymptotic behavior of M also symmetric in some sense, then we prove that the minimal graph is itself symmetric along the same plane.

1. Introduction

2. Main results

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