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.
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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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

[1] J. Haslinger P. Neittaanmäki T. Tiihonen: Shape optimization of an elastic body in contact based on penalization of the state. Apl. Mat. 31 (1986), 54-77. | MR

[2] I. Hlaváček: Inequalities of Korn's type, uniform with respect to a class of domains. Apl. Mat. | Zbl

[3] I. Hlaváček: Domain optimization in axisymmetric elliptic boundary value problems by finite elements. Apl. Mat. 33 (1988), 213-244. | MR

[4] J. Nečas I. Hlaváček: Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction. Elsevier, Amsterdam 1981. | MR

[5] I. Hlaváček J. Nečas: On inequalities of Korn's type. Arch. Rational Mech. Anal. 36 (1970), 305-334. | DOI | MR

[6] J. A. Nitsche: On Korn's second inequality. R.A.I.R.O. Anal. numér., 15 (1981), 237-248. | DOI | MR | Zbl

[7] T. Tiihonen: On Korn's inequality and shape optimization. Preprint 61, Univ. of Jyväskylä, Dept. of Math., April 1987. | MR

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