caa a22 4500 605515816 CHVBK 20210128100711.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s00205-015-0858-x doi (NATIONALLICENCE)springer-10.1007/s00205-015-0858-x Study of Island Formation in Epitaxially Strained Films on Unbounded Domains [Elektronische Daten] [P. Bella, M. Goldman, B. Zwicknagl] We consider a variational model related to the formation of islands in heteroepitaxial growth on unbounded domains. We first derive the scaling regimes of the minimal energy in terms of the volume of the film and the amplitude of the crystallographic misfit. For small volumes, non-existence of minimizers is then proven. This corresponds to the experimentally observed wetting effect. On the other hand, we show the existence of minimizers for large volumes. We finally study the asymptotic behavior of the optimal shapes. Springer-Verlag Berlin Heidelberg, 2015 Bella P. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany aut Goldman M. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany aut Zwicknagl B. Institute for Applied Mathematics, Bonn University, Bonn, Germany aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/1(2015-10-01), 163-217 0003-9527 218:1<163 2015 218 205 https://doi.org/10.1007/s00205-015-0858-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-015-0858-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bella P. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany aut NATIONALLICENCE 700 1- Goldman M. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany aut NATIONALLICENCE 700 1- Zwicknagl B. Institute for Applied Mathematics, Bonn University, Bonn, Germany aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/1(2015-10-01), 163-217 0003-9527 218:1<163 2015 218 205