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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Regularity of solutions to a contact problem
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by Russell M. Brown, Zhongwei Shen and Peter Shi PDF
Trans. Amer. Math. Soc. 350 (1998), 4053-4063 Request permission

Abstract:

We consider a variational inequality for the Lamé system which models an elastic body in contact with a rigid foundation. We give conditions on the domain and the contact set which allow us to prove regularity of solutions to the variational inequality. In particular, we show that the gradient of the solution is a square integrable function on the boundary.
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Additional Information
  • Russell M. Brown
  • Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027
  • MR Author ID: 259097
  • Email: rbrown@ms.uky.edu
  • Zhongwei Shen
  • Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027
  • MR Author ID: 227185
  • Email: shenz@ms.uky.edu
  • Peter Shi
  • Affiliation: Department of Mathematical Sciences, Oakland University, Rochester, Michigan 48309-4401
  • Email: pshi@oakland.edu
  • Received by editor(s): December 30, 1996
  • Additional Notes: The authors thank the NSF and the Commonwealth of Kentucky for support through the NSF-EPSCoR program and through the NSF Division of Mathematical Sciences.
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 4053-4063
  • MSC (1991): Primary 35J50; Secondary 73T05
  • DOI: https://doi.org/10.1090/S0002-9947-98-02205-3
  • MathSciNet review: 1475678