Extended Korn's inequalities and the associated best possible constants

DOI10.1007/BF00115553zbMath0772.35007MaRDI QIDQ1179776

Hiroya Ito

Publication date: 27 June 1992

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

isotropic elastic bodycoerciveness of the strain energy

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) A priori estimates in context of PDEs (35B45)

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Cites Work

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• Scattering theory for the elastic wave equation
• Korn inequalities for the sphere and circle
• On inequalities of Korn, Friedrichs and Babuska-Aziz
• On the positivity of the second variation in finite elasticity
• Inequalities of Korn and Friedrichs in elasticity and potential theory
• Some remarks on Korn's inequality
• Eigenvalue problems associated with Korn's inequalities
• On the boundary-value problems of the theory of elasticity and Korn's inequality
• On Korn's second inequality
• THE SPECTRUM OF A FAMILY OF OPERATORS IN THE THEORY OF ELASTICITY
• On Korn's inequality