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Estimates for the solution and its stability in Signorini's problem

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Abstract

The Signorini problem for an elastic body admits a convenient formulation as a variational inequality. However, it is not coercive. In this note we establish a priori limitations for the solution, estimates of the contact set, and stability for the solution of this problem. The last section is devoted to the example of an infinite circular cylinder, in plane strain.

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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, 206 Church St, S. E., 55455, Minneapolis, MN, USA

    David Kinderlehrer

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  1. David Kinderlehrer
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This research was partially supported by the N. S. F.

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Kinderlehrer, D. Estimates for the solution and its stability in Signorini's problem. Appl Math Optim 8, 159–188 (1982). https://doi.org/10.1007/BF01447756

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  • DOI: https://doi.org/10.1007/BF01447756

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