Theorems on lower semicontinuity and relaxation for integrands with fast growth.
Sychev, M.A. (2005)
Sibirskij Matematicheskij Zhurnal
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Sychev, M.A. (2005)
Sibirskij Matematicheskij Zhurnal
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Kewei Zhang (1998)
Annales de l'I.H.P. Analyse non linéaire
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Šverák, Vladimír
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Paolo Marcellini (1986)
Annales de l'I.H.P. Analyse non linéaire
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Kewei Zhang (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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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.
Kewei Zhang (1997)
Annales de l'I.H.P. Analyse non linéaire
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