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Spectral properties of an elliptic operator with double-contrast coefficients near a hyperplane
In this paper we study the asymptotic behaviour as ε→0 of the spectrum of the elliptic operator Aε=−1bεdiv(aε∇) posed in a bounded domain Ω⊂Rn (n⩾2) subject to Dirichlet boundary conditions on ∂Ω. When ε→0 both coefficients aε and bε become high contrast in a small neighborhood of a hyperplane Γ …