Calculus of Variations and Geometric Measure Theory

A. Braides - L. Kreutz

Design of lattice surface energies

created by braidesa on 20 Oct 2016
modified on 14 Jul 2018


Published Paper

Inserted: 20 oct 2016
Last Updated: 14 jul 2018

Journal: Calc. Var. Partial Diff. Equations
Volume: 57
Year: 2018
Doi: 10.1007/s00526-018-1368-0


We provide a general framework for the optimal design of surface energies on networks. We prove sharp bounds for the homogenization of discrete systems describing mixtures of ferromagnetic interactions by constructing optimal microgeometries, and we prove a localization principle which allows to reduce to the periodic setting in the general nonperiodic case.