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On separation of gradient Young measures

By K Zhang

Abstract

Let be a linear subspace of real matrices without rank-one matrices and let be a finite set. Suppose is a bounded arcwise connected Lipschitz domain and is a sequence of bounded vector-valued mappings in such that in as , where is the closed -neighbourhood and the distance function to . We give estimates for such that up to a subsequence, in for some fixed . In other words, we give estimates on such that separates gradient Young measure. The two point set with is a special case of such sets up to a translation

Publisher: Springer Verlag
Year: 2003
OAI identifier: oai:sro.sussex.ac.uk:19328
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