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Upper Bounds for Korn’s Constants in General Domains

Upper Bounds for Korn’s Constants in General Domains

Year:    2025

Author:    Cristinel Mardare, Thai Ha Nguyen

Communications in Mathematical Analysis and Applications, Vol. 4 (2025), Iss. 1 : pp. 48–86

Abstract

We estimate the constants appearing in Korn inequalities in terms of the norm of a linear and continuous inverse to the divergence operator defined on a same domain, and of a few scalar parameters modeling the shape of the domain.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cmaa.2024-0006

Communications in Mathematical Analysis and Applications, Vol. 4 (2025), Iss. 1 : pp. 48–86

Published online:    2025-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    39

Keywords:    Korn inequalities shells asymptotic analysis.

Author Details

Cristinel Mardare Email

Thai Ha Nguyen Email