2 papers
math.SP2023
Spectra of Dirichlet Laplacian in 3-dimensional polyhedral layers
Fedor Bakharev, Sergey Matveenko
The structure of the spectrum of the three-dimensional Dirichlet Laplacian in the 3D polyhedral layer of fixed width is studied. It appears that the essential spectrum is defined b…
math.SP2012
A sufficient condition for a discrete spectrum of the Kirchhoff plate with an infinite peak
F. L. Bakharev, S. A. Nazarov, G. H. Sweers
Sufficient conditions for a discrete spectrum of the biharmonic equation in a two-dimensional peak-shaped domain are established. Different boundary conditions from Kirchhoff's pla…