The Korn's inequality involves a positive constant, which depends on the domains, in general. We prove that the constants have a positive infimum, if a class of bounded axisymmetric domains and axisymmetric displacement fields are considered.
@article{104342, author = {Ivan Hlav\'a\v cek}, title = {Korn's inequality uniform with respect to a class of axisymmetric bodies}, journal = {Applications of Mathematics}, volume = {34}, year = {1989}, pages = {146-154}, zbl = {0673.49004}, mrnumber = {0990301}, language = {en}, url = {http://dml.mathdoc.fr/item/104342} }
Hlaváček, Ivan. Korn's inequality uniform with respect to a class of axisymmetric bodies. Applications of Mathematics, Tome 34 (1989) pp. 146-154. http://gdmltest.u-ga.fr/item/104342/
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