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On a variational problem arising in crystallography

Published online by Cambridge University Press:  14 February 2007

Alexander J. Zaslavski
Alexander J. Zaslavski*
Affiliation:
Department of Mathematics, Technion-Israel Institute of Technology, 32000, Haifa, Israel; ajzasl@tx.technion.ac.il
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Abstract

We study a variational problem which was introduced by Hannon,Marcus and Mizel [ESAIM: COCV9 (2003) 145–149] todescribe step-terraces on surfaces of so-called “unorthodox” crystals.We show that there is no nondegenerate intervals on which the absolutevalue of a minimizer is $\pi/2$ identically.

Keywords

Minimizersurfaces of crystalsunorthodox crystalvariational problem.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 13 , Issue 1 , January 2007 , pp. 72 - 92
Copyright
© EDP Sciences, SMAI, 2007

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References

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