SYMMETRY OF MINIMAL GRAPHS

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Published: May 15, 2010
DOI: https://doi.org/10.14403/jcms.2010.23.2.251
Keywords:
minimal graphs, planar ends, harmonic function
Mathematics Subject Classification (2020):
Primary 53A10

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Sun Sook Jin
Department of Mathematics Education, Gongju National University of Education

Abstract





In this article, we consider a minimal graph in R3 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.





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Article Details

Issue
Vol. 23 No. 2 (2010)
Section
Articles