Homogenization of nonconvex integrals with convex growth

We study homogenization by Γ-convergence of periodic multiple integrals of the calculus of variations when the integrand can take infinite values outside a convex set of matrices. Nous étudions lʼhomogénéisation par Γ-convergence dʼintégrales multiples périodiques du calcul des variations lorsque lʼ...

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Bibliographic Details
Published in:Journal de mathématiques pures et appliquées 2011-08, Vol.96 (2), p.167-189
Main Authors: Anza Hafsa, Omar, Mandallena, Jean-Philippe
Format: Article
Language:English
Subjects:
Classical Analysis and ODEs
Convex and discrete geometry
Convex growth
Determinant type constraints
Exact sciences and technology
General mathematics
General, history and biography
Geometry
Homogenization
Mathematical analysis
Mathematics
Nonconvex integrands
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Partial differential equations
Sciences and techniques of general use
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Summary:We study homogenization by Γ-convergence of periodic multiple integrals of the calculus of variations when the integrand can take infinite values outside a convex set of matrices. Nous étudions lʼhomogénéisation par Γ-convergence dʼintégrales multiples périodiques du calcul des variations lorsque lʼintégrande prend des valeurs infinies en dehors dʼun ensemble convexe de matrices.
ISSN:0021-7824
DOI:10.1016/j.matpur.2011.03.003