We consider a spectral problem for the Laplacian operator in a planar T-like shaped thin
structure Ω ε, where ε denotes the transversal thickness of both branches. We assume the …

To perform an asymptotic analysis of spectra of singularly perturbed periodic waveguides, it
is required to estimate remainders of asymptotic expansions of eigenvalues of a model …

We consider a 3d multi-structure composed of two joined perpendicular thin films: a vertical
one with small thickness hna and a horizontal one with small thickness hnb. We study the …

We consider an elliptic operator with variable coefficients in a thin three-dimensional layer
with $\mathscr {P\! T} $-symmetric boundary conditions. We study the effect of the …

The spectral problem for the diffusion operator is considered in a domain containing thin
tubes. A new version of the method of partial asymptotic decomposition of the domain is …

We consider the spectral problem for the diffusion operator considered in a domain
containing thin tubes. A new version of the method of partial asymptotic decomposition of the …

Examples of Plentiful Discrete Spectra in Infinite Spatial Cruciform Quantum Waveguides Page
1 Zeitschrift für Analysis und ihre Anwendungen c⃝ European Mathematical Society Journal of …

Spectral problems for the Laplacian with Robin and Steklov (third-type) boundary conditions
on a smooth boundary of a plane domain are considered. These conditions involve a small …

Let Ω Ω be a bounded domain in R 2 R^2 with smooth boundary∂ Ω ∂Ω, and let ω h ω_h
be the set of points in Ω Ω whose distance from the boundary is smaller than h h. We prove …

After scaling, a long Kirchhoff plate with rigidly clamped ends and free lateral sides is
described by a mixed boundary-value problem for the biharmonic operator in a thin domain …