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    A new nonlocal characterization of Sobolev vector fields in the spirit of Korn's inequality is obtained. As an application of this result, a nonlocal means of identification of rigid motions is given. A nonlocal characterization of vector fields with bounded deformation is also presented. A compactness criteria is proved for bounded sequences of vector fields in Lp.

    AMSC: 46E35, 46E40, 45A05


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    Published: 28 June 2012
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