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Averaging of Neumann problems for nonlinear elliptic equations in regions of framework type with thin channels

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Abstract

TheG-convergence of operators of the Neumann problem is established in regions with framework-type periodic structure with thin channels. A representation of the coefficients of aG-limiting operator is obtained.

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References

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    A. A. Kovalevskii

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  1. A. A. Kovalevskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 11, pp. 1503–1513, November, 1993.

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Kovalevskii, A.A. Averaging of Neumann problems for nonlinear elliptic equations in regions of framework type with thin channels. Ukr Math J 45, 1690–1702 (1993). https://doi.org/10.1007/BF01060859

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  • DOI: https://doi.org/10.1007/BF01060859

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