Date of Original Version
The final publication is available at Springer via http://dx.doi.org/10.1007/s00205-014-0730-4
Abstract or Description
In this paper it is shown existence of weak solutions of a variational inequality derived from the continuum model introduced by Xiang [7, formula (3.62)] (see also the work of Xiang and E  and Xu and Xiang ) to describe the self-organization of terraces and steps driven by misfit elasticity between a film and a substrate in heteroepitaxial growth. This model is obtained as a continuum limit of discrete theories of Duport, Politi, and Villain  and Tersoff, Phang, Zhang, and Lagally.
Archive for Rational Mechanics and Analysis, 212, 3, 1037-1064.