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

  • A. A. Kovalevskii

Abstract

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 functionateI s :W k,m (Ω)→ℝ, we prove a theorem on the selection of a subsequence Γ-convergent to an integral functional defined on (W k,m (Ω))2.
Published
25.05.1996
How to Cite
KovalevskiiA. A. “On the $Γ$-Convergence of Integral Functionals Defined on Sobolev Weakly Connected Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 5, May 1996, pp. 614-28, https://umj.imath.kiev.ua/index.php/umj/article/view/5294.
Section
Research articles