Inequalities of Korn's type involve a positive constant, which depends on the domain, in general. A question arises, whether the constants possess a positive infimum, if a class of bounded two-dimensional domains with Lipschitz boundary is considered. The proof of a positive answer to this question is shown for several types of boundary conditions and for two classes of domains.
@article{104339, author = {Ivan Hlav\'a\v cek}, title = {Inequalities of Korn's type, uniform with respect to a class of domains}, journal = {Applications of Mathematics}, volume = {34}, year = {1989}, pages = {105-112}, zbl = {0673.49003}, mrnumber = {0990298}, language = {en}, url = {http://dml.mathdoc.fr/item/104339} }
Hlaváček, Ivan. Inequalities of Korn's type, uniform with respect to a class of domains. Applications of Mathematics, Tome 34 (1989) pp. 105-112. http://gdmltest.u-ga.fr/item/104339/
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