Geodesic
Inequalities of Korn's type, uniform with respect to a class of domains
Applications of Mathematics, Tome 34 (1989) no. 2, pp. 105-112.

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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.
DOI : 10.21136/AM.1989.104339
Classification : 35J20, 35J55, 49A22, 49J20
Keywords: domain optimization; Korn’s inequality; Friedrichs inequality 
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     title = {Inequalities of {Korn's} type, uniform with respect to a class of domains},
     journal = {Applications of Mathematics},
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Hlaváček, Ivan. Inequalities of Korn's type, uniform with respect to a class of domains. Applications of Mathematics, Tome 34 (1989) no. 2, pp. 105-112. doi : 10.21136/AM.1989.104339. http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104339/

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