A Bernstein result for energy minimizing hypersurfaces |
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| Authors: | U Dierkes |
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| Institution: | (1) Sonderforschungsbereich 256, Universität Bonn, Institut für Angewandte Mathematik, Wegelerstrasse 6, W-5300 Bonn 1, Germany |
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| Abstract: | We show that there are no entire, positive, stable solutions in 
n
of the Euler equation corresponding to the singular variational integral
, >0, if+n<5.236.... Furthermore we prove a related result for smooth boundaries of least-energy  |x
n+1||D
 U
| in
n+1. |
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| Keywords: | 35J20 49F22 53C42 |
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