On 1-Harmonic Functions

Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1-tension field are given with applications in geometry via transformation group theory. In particular, we prove that every level hypersurface of such a subsolution is calibrated and hence is area-minimizing over $mat...

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Bibliographic Details
Main Author: Shihshu Walter Wei
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2007/127/