On the Existence of Positive Eigenvalues for the Isotropic Linear Elasticity System with Negative Shear Modulus

DOI10.1081/PDE-200040195zbMath1065.35214MaRDI QIDQ4678904

Emil Ernst

Publication date: 23 May 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

positive eigenvaluesCosserat spectrumnegative shear modulus

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Classical linear elasticity (74B05) Stability for problems in linear vibration theory (70J25)

Cites Work

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• Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials
• Well-posedness of the Dirichlet problem in non-elliptic isotropic elasticity
• THE SPECTRUM OF A FAMILY OF OPERATORS IN THE THEORY OF ELASTICITY
• Maxwell and Lamé eigenvalues on polyhedra
• Generalized linear elasticity in exterior domains. I: Radiation problems
• Point spectrum of elliptic operators in fibered half-cylinders and the related completeness problem
• Iterative Stokes solvers in the harmonic Velte subspace

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