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Generalized convexities of lower semicontinuous functions

✍ Scribed by Hartwig, Helga

Book ID
121270179
Publisher
Taylor and Francis Group
Year
1985
Tongue
English
Weight
336 KB
Volume
16
Category
Article
ISSN
0233-1934

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this Volume Is Dedicated To The Fundamentals Of Convex Functional Analysis. It Presents Those Aspects Of Functional Analysis That Are Extensively Used In Various Applications To Mechanics And Control Theory. The Purpose Of The Text Is Essentially Two-fold. On The One Hand, A Bare Minimum Of The Theo

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We study the lower semicontinuity properties and existence of a minimizer of the functional We introduce the notions of Morrey quasiconvexity, polyquasiconvexity, and rank-one quasiconvexity, all stemming from the notion of quasiconvexity (= convex level sets) of f in the last variable. We also for