학술논문
Minimal graphs in [InlineMediaObject not available: see fulltext.] over unbounded domains.
Document Type
Article
Author
Source
Subject
*GRAPH theory
*MATHEMATICAL domains
*DIRICHLET problem
*INFINITY (Mathematics)
*BOUNDARY value problems
*POLYGONS
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*
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Language
ISSN
1678-7544
Abstract
We study the existence of minimal graphs in [InlineMediaObject not available: see fulltext.] with prescribed boundary data, possibly infinite. We give necessary and sufficient conditions on the 'lengths' of the sides of the inscribed polygons in an unbounded domain in ℍ, that yield solutions to the minimal surface equation with prescribed boundary data. [ABSTRACT FROM AUTHOR]