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On separation of gradient Young measures
journal contribution
posted on 2023-06-07, 22:02 authored by K ZhangLet 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.
History
Publication status
- Published
Journal
Calculus of Variations and Partial Differential EquationsISSN
0944-2669Publisher
Springer VerlagExternal DOI
Issue
1Volume
17Page range
85-103Pages
19.0Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes