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Homogenization of noncoercive functionals: Periodic materials with soft inclusions

Homogenization of noncoercive functionals: Periodic materials with soft inclusions 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Homogenization of noncoercive functionals: Periodic materials with soft inclusions

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References (12)

Publisher
Springer Journals
Copyright
Copyright © 1988 by Springer-Verlag New York Inc
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/BF01448361
Publisher site
See Article on Publisher Site

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.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Mar 23, 2005

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