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surfaces of crystals

ESAIM: Control, Optimisation and Calculus of Variations (1)

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On a variational problem arising in crystallography
Alexander J. Zaslavski
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 13 / Issue 1 / January 2007

Published online by Cambridge University Press:

14 February 2007, pp. 72-92

Print publication:

January 2007
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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.