Geodesic
Korn's inequality uniform with respect to a class of axisymmetric bodies
Applications of Mathematics, Tome 34 (1989) no. 2, pp. 146-154.

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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.
DOI : 10.21136/AM.1989.104342
Classification : 35J55, 49A22, 49J20, 73C99, 73k40, 74B99
Keywords: domain optimization; shape optimization; Korn’s inequality 
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     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Korn's inequality uniform with respect to a class of axisymmetric bodies},
     journal = {Applications of Mathematics},
     pages = {146--154},
     publisher = {mathdoc},
     volume = {34},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104342/}
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Hlaváček, Ivan. Korn's inequality uniform with respect to a class of axisymmetric bodies. Applications of Mathematics, Tome 34 (1989) no. 2, pp. 146-154. doi : 10.21136/AM.1989.104342. http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104342/

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