Absence of gaps in a lower part of the spectrum of a Laplacian with frequent alternation of boundary conditions in a strip

DOI10.1134/S0040577918050057zbMath1405.35020OpenAlexW2805567338MaRDI QIDQ1794496

Denis I. Borisov

Publication date: 15 October 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918050057

zbMATH Keywords

Laplacianperiodic operatorinfinite stripBethe-Sommerfeld conjecturealternation of boundary conditions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Gap opening in two-dimensional periodic systems ⋮ On lacunas in the spectrum of the Laplacian with the Dirichlet boundary condition in a band with oscillating boundary ⋮ Elliptic operators in multidimensional cylinders with frequently alternating boundary conditions along a given curve ⋮ Bethe-Sommerfeld conjecture for periodic Schrödinger operators in strip

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