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http://dx.doi.org/10.14403/jcms.2010.23.2.251

SYMMETRY OF MINIMAL GRAPHS  

Jin, Sun Sook (Department of Mathematics Education Gongju National University of Education)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.2, 2010 , pp. 251-256 More about this Journal
Abstract
In this article, we consider a minimal graph in $R^3$ which is bounded by a Jordan curve and a straight line. Suppose that the boundary is symmetric with the reflection under a plane, then we will prove that the minimal graph is itself symmetric under the reflection through the same plane.
Keywords
minimal graphs; planar ends; harmonic function;
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