Computable Constants for Korn’s Inequalities on Riemannian Manifolds

A method is presented for the explicit construction of the non-dimensional constant occurring in Korn’s inequalities for a bounded two-dimensional Riemannian differentiable simply connected manifold subject to Dirichlet boundary conditions. The method is illustrated by application to the spherical c...

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Bibliographic Details
Published inJournal of elasticity Vol. 147; no. 1-2; pp. 59 - 82
Main Author Knops, R. J.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.12.2021
Subjects
Automotive Engineering
Classical Mechanics
Physics
Physics and Astronomy
53A99
Riemannian manifolds
26D10
Korn’s inequalities
49J40
49Q05
74A99
Computable Korn’s constants
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Summary:A method is presented for the explicit construction of the non-dimensional constant occurring in Korn’s inequalities for a bounded two-dimensional Riemannian differentiable simply connected manifold subject to Dirichlet boundary conditions. The method is illustrated by application to the spherical cap and minimal surface.
ISSN:0374-3535
1573-2681
DOI:10.1007/s10659-021-09870-4