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An improvement on the concentration-compactness principle

✍ Scribed by Qiu Xing; Hong Yi; Shen Yaotian


Book ID
110611699
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2001
Tongue
English
Weight
375 KB
Volume
17
Category
Article
ISSN
0168-9673

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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