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Minimal graphs in [InlineMediaObject not available: see fulltext.] over unbounded domains

Minimal graphs in [InlineMediaObject not available: see fulltext.] over unbounded domains 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 ℍ2, that yield solutions to the minimal surface equation with prescribed boundary data. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Minimal graphs in [InlineMediaObject not available: see fulltext.] over unbounded domains

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-014-0042-1
Publisher site
See Article on Publisher Site

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 ℍ2, that yield solutions to the minimal surface equation with prescribed boundary data.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Apr 8, 2014

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