γ-Convergence of integral functionals and the variational dirichlet problem in variable domains

• Date: 1996
• Main Authors: Kovalevskii, A. A., Ковалевский, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5238
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

By using special local characteristics of domains Ω s ⊂Ω,s=12,..., we establish necessary and sufficient conditions for the γ-convergence of sequences of integral functionalsI λs :W k,m (Ω s )→ℝ, λ⊂Ω to interal functionals defined on W k,m (Ω).