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

• Datum: 2009
• Hauptverfasser: Rudakova, O. A., Рудакова, О. А.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3006
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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....