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Korn’s inequality uniform with respect to a class of axisymmetric bodies. (English) Zbl 0673.49004

Summary: The Korn’s inequality involves a positive constant, which depends on the domain, in general. We prove that the constants have a positive infimum, if a class of bounded axisymmetric domains and axisymmetric displacement fields are considered.

MSC:

49J20 Existence theories for optimal control problems involving partial differential equations
35J55 Systems of elliptic equations, boundary value problems (MSC2000)
74B99 Elastic materials
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References:

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