Asymptotics of spectra of Neumann Lapla-cians in thin domains

By Peter Kuchment, Hongbiao Zeng. 2003

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On the spectrum of the Dirichlet Laplacian in a narrow strip (2007, background): “Kuchment and Zheng extended in [6] these results to the case when the strip width is not constant.”
Geometrical Structure of Laplacian Eigenfunctions (2012, background): “Kosugi studied the convergence of the solution to a semilinear elliptic equation in a thin network-shaped domain which degenerates into a geometric graph when a certain parameter tends to zero [288] (see also [295, 408, 431, 432]).”