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