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Semicontinuity of curve functionals

✍ Scribed by Glenn Schober


Publisher
Springer
Year
1969
Tongue
English
Weight
141 KB
Volume
33
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES


Lower semicontinuity of L∞ functionals
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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

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In this paper we show the weak lower semicontinuity of some classes of functionals, using the concentration-compactness principle of P. L. Lions. These functionals involve an integral term, and we do not know whether it can be handled by the De Giorgi theorem. The semicontinuity result allows us to

Lower semicontinuity of certain quasicon
✍ Anna Verde; Gabriella Zecca πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 552 KB

Let u : Ω βŠ‚ R n β†’ R N be any vector valued function. We prove a semicontinuity result in the weak\* topology of Orlicz-Sobolev spaces of the functional where f is a quasiconvex function satisfying non-standard growth conditions.