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Journal of Convex Analysis 11 (2004), No. 1, 059--068
Copyright Heldermann Verlag 2004

A Relaxed Model for Step-Terraces on Crystalline Surfaces

Matthias Kurzke
Max-Planck-Institut, Inselstr. 22-26, 04103 Leipzig, Germany,

Marc Oliver Rieger
Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, U.S.A.,

We study a variational problem that has been introduced to describe step-terraces on surfaces of so-called "unorthodox" crystals. Motivated by physical considerations, we use Γ-convergence to derive a simplified model that can be solved explicitly.

Keywords: Surfaces of crystals, step-terraces, unorthodox crystals, variational problems, Γ-convergence.

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