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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.
@article{COCV_2007__13_1_72_0,
author = {Zaslavski, Alexander J.},
title = {On a variational problem arising in crystallography},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {72--92},
publisher = {EDP-Sciences},
volume = {13},
number = {1},
year = {2007},
doi = {10.1051/cocv:2007003},
mrnumber = {2282102},
zbl = {1136.49012},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007003/}
}
TY - JOUR AU - Zaslavski, Alexander J. TI - On a variational problem arising in crystallography JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2007 SP - 72 EP - 92 VL - 13 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007003/ DO - 10.1051/cocv:2007003 LA - en ID - COCV_2007__13_1_72_0 ER -
%0 Journal Article %A Zaslavski, Alexander J. %T On a variational problem arising in crystallography %J ESAIM: Control, Optimisation and Calculus of Variations %D 2007 %P 72-92 %V 13 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007003/ %R 10.1051/cocv:2007003 %G en %F COCV_2007__13_1_72_0
Zaslavski, Alexander J. On a variational problem arising in crystallography. ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 1, pp. 72-92. doi: 10.1051/cocv:2007003
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