# On the quasiconvex exposed points

ESAIM: Control, Optimisation and Calculus of Variations (2001)

- Volume: 6, page 1-19
- ISSN: 1292-8119

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topZhang, Kewei. "On the quasiconvex exposed points." ESAIM: Control, Optimisation and Calculus of Variations 6 (2001): 1-19. <http://eudml.org/doc/90589>.

@article{Zhang2001,

abstract = {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.},

author = {Zhang, Kewei},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {quasiconvex functions; quasiconvex hull; homogeneous Young measure; quasiconvex exposed points; Straszewicz theorem; quasiconvexity; extreme points; material microstructures},

language = {eng},

pages = {1-19},

publisher = {EDP-Sciences},

title = {On the quasiconvex exposed points},

url = {http://eudml.org/doc/90589},

volume = {6},

year = {2001},

}

TY - JOUR

AU - Zhang, Kewei

TI - On the quasiconvex exposed points

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2001

PB - EDP-Sciences

VL - 6

SP - 1

EP - 19

AB - 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.

LA - eng

KW - quasiconvex functions; quasiconvex hull; homogeneous Young measure; quasiconvex exposed points; Straszewicz theorem; quasiconvexity; extreme points; material microstructures

UR - http://eudml.org/doc/90589

ER -

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