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On Lower Semicontinuity of Integral Functionals. II

โœ Scribed by Ioffe, A. D.


Book ID
118204610
Publisher
Society for Industrial and Applied Mathematics
Year
1977
Tongue
English
Weight
746 KB
Volume
15
Category
Article
ISSN
0363-0129

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Lower semicontinuity of Lโˆž functionals
โœ E.N. Barron; R.R. Jensen; C.Y. Wang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 172 KB

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