Geodesic
Limits of Discrete Systems with Long-Range Interactions
Journal of convex analysis, Tome 9 (2002) no. 2, pp. 363-399

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 35E99, 49J45, 35M10, 73C50, 73M25
Mots-clés : Gamma-limit, thin films, homogenization 
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     author = {A. Braides and M. S. Gelli},
     title = {Limits of {Discrete} {Systems} with {Long-Range} {Interactions}},
     journal = {Journal of convex analysis},
     pages = {363--399},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2002},
     url = {http://geodesic.mathdoc.fr/item/JCA_2002_9_2_JCA_2002_9_2_a3/}
}
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A. Braides; M. S. Gelli. Limits of Discrete Systems with Long-Range Interactions. Journal of convex analysis, Tome 9 (2002) no. 2, pp. 363-399. http://geodesic.mathdoc.fr/item/JCA_2002_9_2_JCA_2002_9_2_a3/