Published Paper

Inserted: 12 feb 2024
Last Updated: 11 apr 2025

Journal: Advances in Calculus of Variations
Volume: vol. 18
Number: no. 2,
Pages: pp. 511-554
Year: 2025
Doi: https://doi.org/10.1515/acv-2024-0015

Abstract:

We consider a model to describe stable configurations in epitaxial growth of crystals in the two dimensional case, and in the regime of linearized elasticity. The novelty is that the model also takes into consideration the adatom density on the surface of the film. These are behind the main mechanisms of crystal growth and formation of islands (or quantum dots). The main result of the paper is the integral representation of the relaxed energy.