Computable Constants for Korn’s Inequalities on Riemannian Manifolds

R. J. Knops

doi:10.1007/s10659-021-09870-4

Computable Constants for Korn’s Inequalities on Riemannian Manifolds

R. J. Knops^*

^*Corresponding author for this work

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Abstract

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.

Original language	English
Journal	Journal of Elasticity
Early online date	30 Nov 2021
DOIs	https://doi.org/10.1007/s10659-021-09870-4
Publication status	E-pub ahead of print - 30 Nov 2021

Keywords

Computable Korn’s constants
Korn’s inequalities
Riemannian manifolds

ASJC Scopus subject areas

Materials Science(all)
Mechanics of Materials
Mechanical Engineering

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title = "Computable Constants for Korn{\textquoteright}s Inequalities on Riemannian Manifolds",

abstract = "A method is presented for the explicit construction of the non-dimensional constant occurring in Korn{\textquoteright}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.",

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AB - 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.

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Computable Constants for Korn’s Inequalities on Riemannian Manifolds

Abstract

Keywords

ASJC Scopus subject areas

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