On the $Γ$-Convergence of integral functionals defined on sobolev weakly connected spaces

• 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/5294
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce and study the concept of Γ-convergence of functionateI s :W k,m (Ω)→ℝ,s=1,2,..., to a functional defined on (W k,m (Ω))2 and describe the relationship between this type of convergence and the convergence of solutions of Neumann variational problems. For a sequence of integral functio...