| Issue |
ESAIM: COCV
Volume 6, 2001
|
|
|---|---|---|
| Page(s) | 1 - 19 | |
| DOI | https://doi.org/10.1051/cocv:2001101 | |
| Published online | 15 August 2002 | |
On the quasiconvex exposed points
School of Mathematical Sciences, University of Sussex,
Falmer, Brighton BN1 9QH, U.K.; k.zhang@sussex.ac.uk.
Received:
April
1999
Revised:
27
August
1999
The notion of quasiconvex exposed points is introduced for compact sets of matrices, motivated from the variational approach to material microstructures. We apply the notion to give geometric descriptions of the quasiconvex extreme points for a compact set. A weak version of Straszewicz type density theorem in convex analysis is established for quasiconvex extreme points. Some examples are examined by using known explicit quasiconvex functions.
Mathematics Subject Classification: 49J45 / 49J10 / 73V25
Key words: Quasiconvex functions / quasiconvex hull / homogeneous Young measure / quasiconvex exposed points / Straszewicz theorem.
© EDP Sciences, SMAI, 2001
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.