| Issue |
ESAIM: COCV
Volume 13, Number 1, January-March 2007
|
|
|---|---|---|
| Page(s) | 72 - 92 | |
| DOI | https://doi.org/10.1051/cocv:2007003 | |
| Published online | 14 February 2007 | |
On a variational problem arising in crystallography
Department of Mathematics, Technion-Israel Institute of
Technology, 32000, Haifa, Israel; ajzasl@tx.technion.ac.il
Received:
28
October
2004
Revised:
26
June
2005
We study a variational problem which was introduced by Hannon,
Marcus and Mizel [ESAIM: COCV 9 (2003) 145–149] to
describe step-terraces on surfaces of so-called “unorthodox” crystals.
We show that there is no nondegenerate intervals on which the absolute
value of a minimizer is 
identically.
Mathematics Subject Classification: 49J99 / 74E15
Key words: Minimizer / surfaces of crystals / unorthodox crystal / variational problem.
© EDP Sciences, SMAI, 2007
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