### On a variational problem arising in crystallography

Alexander J. Zaslavski (2007)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We study a variational problem which was introduced by Hannon, Marcus and Mizel [ (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 $\pi /2$ identically.