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An abstract version of the concentration compactness principle

✍ Scribed by I. Schindler; K. Tintarev


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
232 KB
Volume
47
Category
Article
ISSN
0362-546X

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Lower Semicontinuity of Functionals via
✍ Eugenio Montefusco πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 108 KB

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