Journal of Convex Analysis 09 (2002), No. 2, 363--399
Copyright Heldermann Verlag 2002
Limits of Discrete Systems with Long-Range Interactions
Andrea Braides
S.I.S.S.A., via Beirut 4, 34013 Trieste, Italy
braides@sissa.it
Maria Stella Gelli
S.I.S.S.A., via Beirut 4, 34013 Trieste, Italy
gelli@sissa.it
We prove that under some structure and decay hypotheses, limits of discrete systems with multi-neighbourhood interactions give rise to local energies with bulk and surface part, and that the limit energy densities can be recovered through a scaling and superposition procedure.
Keywords: Gamma-limit, thin films, homogenization.
MSC: 35E99, 49J45; 35M10, 73C50, 73M25
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