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Existence and Homogenization for the Problem ‒div a(x, Du)=f When a(x, ξ) is a Maximal Monotone Graph in ξ for Every x

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Nonlinear Homogenization and its Applications to Composites, Polycrystals and Smart Materials

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 170))

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References

  1. Chiadò Piat, V., Dal Maso, G. and Defranceschi, A. (1990) G-convergence of monotone operators, Ann. Inst. H. Poincarée Anal. Non linéeaire, 7, 123–160.

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  2. Francfort, G., Murat, F. and Tartar, L. (2003) Monotone operators in divergence form with x-dependent multivalued graphs, Boll. Un. Mat. Ital., to appear.

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  3. Francfort, G., Murat, F. and Tartar, L. (2004) Homogenization of monotone operators in divergence form with x-dependent multivalued graphs, in preparation.

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© 2004 Kluwer Academic Publishers

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Murat, F. (2004). Existence and Homogenization for the Problem ‒div a(x, Du)=f When a(x, ξ) is a Maximal Monotone Graph in ξ for Every x. In: Castañeda, P.P., Telega, J.J., Gambin, B. (eds) Nonlinear Homogenization and its Applications to Composites, Polycrystals and Smart Materials. NATO Science Series II: Mathematics, Physics and Chemistry, vol 170. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2623-4_9

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