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On \(\Gamma\)-convergence of integral functionals defined on various weighted Sobolev spaces. (Russian, English) Zbl 1224.46068

Ukr. Mat. Zh. 61, No. 1, 99-115 (2009); translation in Ukr. Math. J. 61, No. 1, 121-139 (2009).
Summary: We consider weighted Sobolev spaces correlated with a sequence of \(n\)-dimensional domains. We prove a theorem on the choice of a subsequence \(\Gamma\)-convergent to an integral functional defined on a “limit” weighted Sobolev space from a sequence of integral functionals defined on the spaces indicated.

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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