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.
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Kovalevskii, A.A. On the Γ-Convergence of integral functionals defined on sobolev weakly connected spaces. Ukr Math J 48, 683–698 (1996). https://doi.org/10.1007/BF02384235
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DOI: https://doi.org/10.1007/BF02384235