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Regularity of solutions to a contact problem |
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| Authors: | Russell M. Brown Zhongwei Shen Peter Shi |
| Affiliation: | Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027 ; Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027 ; Department of Mathematical Sciences, Oakland University, Rochester, Michigan 48309-4401 |
| 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. |
| Keywords: | Contact problems, Lamé system, regularity of solutions, variational inequality |
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