Regularity of solutions to a contact problem

Brown, Russell; Shen, Zhongwei; Shi, Peter

doi:10.1090/S0002-9947-98-02205-3

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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