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Homogenization of noncoercive functionals: Periodic materials with soft inclusions

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Abstract

In this paper we study the asymptotic behavior, ash→∞, of the minimum points of the functionals

$$\int {[f(hx,Du) + gu]dx} $$

, wheref(x, ξ) is periodic inx and convex inξ, andu is vector valued. A convergence theorem is stated without uniform coerciveness assumptions.

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Communicated by D. Kinderlehrer

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Acerbi, E., Percivale, D. Homogenization of noncoercive functionals: Periodic materials with soft inclusions. Appl Math Optim 17, 91–102 (1988). https://doi.org/10.1007/BF01448361

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