Rudakova, O. A. 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. Cited in 6 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems Keywords:weighted Sobolev space; integral functional; convergence PDFBibTeX XMLCite \textit{O. A. Rudakova}, Ukr. Mat. Zh. 61, No. 1, 99--115 (2009; Zbl 1224.46068); translation in Ukr. Math. J. 61, No. 1, 121--139 (2009) Full Text: DOI