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Sets of lower semicontinuity and stability of integral functionals

โœ Scribed by M.A. Sychev


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
233 KB
Volume
84
Category
Article
ISSN
0021-7824

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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