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MiS Preprint
39/1999

Bauer's maximum principle and hulls of sets

Martin Kruzik

Abstract

We use the Bauer maximum principle for quasiconvex, polyconvex and rank- one convex functions to derive Krein-Milman-type theorems for compact sets in Rm x n. Further we show that in general a set of quasiconvex extreme points is not invariant under transposition and it is different from the set of rank-one convex extreme points.

Received:
31.05.99
Published:
31.05.99
MSC Codes:
49R99
Keywords:
bauer's maximum principle, extreme points, krein-milman theorem, polyconvexity, quasiconvexity, rank-one convexity, young measure

Related publications

inJournal
2000 Repository Open Access
Martin Kružík

Bauer's maximum principle and hulls of sets

In: Calculus of variations and partial differential equations, 11 (2000) 3, pp. 321-332