On the effect of interactions beyond nearest neighbours on non-convex lattice systems

Author:

Alicandro Roberto,Lazzaroni Giuliano,Palombaro Mariapia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference26 articles.

1. Alicandro, R., Cicalese, M.: A general integral representation result for the continuum limits of discrete energies with superlinear growth. SIAM J. Math. Anal. 36, 1–37 (2004)

2. Alicandro, R., Lazzaroni, G., Palombaro, M.: Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours. Preprint SISSA 58/2016/MATE

3. Ambrosio, L., Fusco, N., Pallara, D.: Functions of Bounded Variation and Free Discontinuity Problems. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York (2000)

4. Blanc, X., Le Bris, C., Lions, P.-L.: From molecular models to continuum mechanics. Arch. Ration. Mech. Anal. 164, 341–381 (2002)

5. Braides, A.: $$\Gamma $$ Γ -Convergence for Beginners. Oxford University Press, Oxford (2002)

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