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On Γ-convergence of integral functionals defined on various weighted Sobolev spaces

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Ukrainian Mathematical Journal Aims and scope

We consider weighted Sobolev spaces correlated with a sequence of n-dimensional domains. We prove a theorem on the choice of a subsequence Γ-convergent to an integral functional defined on a “limit” weighted Sobolev space from a sequence of integral functionals defined on the spaces indicated.

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Authors and Affiliations

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

    O. A. Rudakova

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 1, pp. 99–115, January, 2009.

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Rudakova, O.A. On Γ-convergence of integral functionals defined on various weighted Sobolev spaces. Ukr Math J 61, 121–139 (2009). https://doi.org/10.1007/s11253-009-0193-1

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  • DOI: https://doi.org/10.1007/s11253-009-0193-1

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