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γ-Convergence of integral functionals and the variational dirichlet problem in variable domains

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Abstract

By using special local characteristics of domains Ω s ⊂Ω,s=12,..., we establish necessary and sufficient conditions for the γ-convergence of sequences of integral functionalsI λs :W k,m(Ω s )→ℝ, λ⊂Ω to interal functionals defined on Wk,m(Ω).

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References

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Authors
  1. A. A. Kovalevskii
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Additional information

Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 48, No. 9, pp. 1236–1254, September, 1996.

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Kovalevskii, A.A. γ-Convergence of integral functionals and the variational dirichlet problem in variable domains. Ukr Math J 48, 1402–1422 (1996). https://doi.org/10.1007/BF02595361

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  • DOI: https://doi.org/10.1007/BF02595361

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