Remarks on eigenvalues and eigenfunctions of a special elliptic system

DOI10.1007/BF00948293zbMath0644.35073MaRDI QIDQ1102457

Bernhard Kawohl, Guido Sweers

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

first eigenvalueLaplacianDirichlet eigenvalue problemLamé operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05)

Related Items (10)

On a Classical Spectral Optimization Problem in Linear Elasticity ⋮ Domain-Independent Upper Bounds for Eigenvalues of Elliptic Operators ⋮ Universal inequalities for eigenvalues of a system of elliptic equations of the drifting Laplacian ⋮ On eigenvalues of a system of elliptic equations and of the biharmonic operator ⋮ Inverse scattering problem for a rigid scatterer or a cavity in elastodynamics ⋮ Geometric invariants of spectrum of the Navier-Lamé operator ⋮ Stable Determination of a Rigid Scatterer in Elastodynamics ⋮ A short note on the existence of nontrivial solutions to the vectorial equation in ⋮ Estimates of eigenvalues of an elliptic differential system in divergence form ⋮ Symmetry or not?

Cites Work

• Rearrangements and convexity of level sets in PDE
• On the boundary-value problems of the theory of elasticity and Korn's inequality
• A Bound for the Ratio of the First Two Eigenvalues of a Membrane
• Unrestricted lower bounds for eigenvalues for classes of elliptic equations and systems of equations with applications to problems in elasticity
• Isoperimetric Inequalities and Their Applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Remarks on eigenvalues and eigenfunctions of a special elliptic system