2017
Том 69
№ 9

All Issues

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

Rudakova O. A.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 1, pp 121-139.

Citation Example: Rudakova O. A. On Γ-convergence of integral functionals defined on various weighted Sobolev spaces // Ukr. Mat. Zh. - 2009. - 61, № 1. - pp. 99-115.

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