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Gap in the essential spectrum of the Neumann problem for an elliptic system in a periodic domain. (English. Russian original) Zbl 1271.35025
Funct. Anal. Appl. 43, No. 3, 239-241 (2009); translation from Funkts. Anal. Prilozh. 43, No. 3, 92-95 (2009).
Summary: We establish the existence of a gap in the essential spectrum of the Neumann problem for an elliptic formally self-adjoint system of second-order differential equations on a quasi-cylinder (a domain with periodically varying cross-section).

MSC:
35J57 Boundary value problems for second-order elliptic systems
35P05 General topics in linear spectral theory for PDEs
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