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The displacement problem for elastic crystals
Published online by Cambridge University Press: 14 November 2011
Synopsis
In this paper we obtain necessary and sufficient conditions for the existence of Lipschitz minimisers of a functional of the type
where h is a convex function converging to infinity at zero and u is subjected to displacement boundary conditions. We provide examples of body forces f for which the infimum of J(.) is not attained.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 113 , Issue 1-2 , 1989 , pp. 159 - 180
- Copyright
- Copyright © Royal Society of Edinburgh 1989
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