@article {Khrabustovskyi:December 2008:0003-6811:1357,
	author = "Khrabustovskyi, Andrii",
	title = "Asymptotic behaviour of spectrum of Laplace-Beltrami operator on Riemannian manifolds with complex microstructure",
	journal = "Applicable Analysis",
	volume = "87",
	year = "December 2008",
	abstract = "The article deals with a convergence of the spectrum of the Laplace-Beltrami operator Δε on a Riemannian manifold depending on a small parameter ε > 0. This manifold consists of a domain Ω ⊂ n with a large number of small 'holes' whose boundaries are glued to the boundaries of the n-dimensional spheres with small truncated segment. The number of the 'holes' increases, as ε → 0, while their radii tend to zero. We prove that the spectrum converges to the spectrum of the homogenized operator having (in contrast to Δε) a non-empty essential spectrum.",
	pages = "1357-1372(16)",
	url = "http://www.ingentaconnect.com/content/tandf/gapa/2008/00000087/00000012/art00007"
	doi = "doi:10.1080/00036810802213249"
}