TY - JOUR
T1 - Upper Bounds for Korn’s Constants in General Domains
AU - Mardare , Cristinel
AU - Nguyen , Thai Ha
JO - Communications in Mathematical Analysis and Applications
VL - 1
SP - 48
EP - 86
PY - 2025
DA - 2025/02
SN - 4
DO - http://doi.org/10.4208/cmaa.2024-0006
UR - https://global-sci.org/intro/article_detail/cmaa/23791.html
KW - Korn inequalities, shells, asymptotic analysis.
AB - <p style="text-align: justify;">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.</p>