Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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MINIMAL GRAPHS WITH PLANAR ENDS

  • Jin, Sun Sook (Department of Mathematics Education, Gongju National University of Education)
  • Received : 2011.03.16
  • Accepted : 2011.05.16
  • Published : 2011.06.30
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Abstract

In this article, we consider an unbounded minimal graph $M{\subset}R^3$ which is contained in a slab. Assume that ${\partial}M$ consists of two Jordan curves lying in parallel planes, which is symmetric with the reflection under a plane. If the asymptotic behavior of M is also symmetric in some sense, then we prove that the minimal graph is itself symmetric along the same plane.

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References

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