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math.SP2025
Fractional Laplacian in bended strip
Fedor Bakharev, Sergey Matveenko
The spectral properties of the restricted fractional Laplacian with Dirichlet boundary conditions in a smoothly bent waveguide is investigated. The existence of eigenvalues below t…
math.SP2025
Monotonicity of discrete spectra of Dirichlet Laplacian in 3-dimensional layers
Fedor Bakharev, Sergey Matveenko
We investigate monotonicity properties of eigenvalues of the Dirichlet Laplacian in polyhedral layers of fixed width. We establish that eigenvalues below the essential spectrum thr…