The concentration-compactness principle in the calculus of variations. The locally compact case, part 1
Annales de l'I.H.P. Analyse non linéaire, Tome 1 (1984) no. 2, pp. 109-145.
partie suivante The concentration-compactness principle in the calculus of variations. The locally compact case, part 2 
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     author = {Lions, P. L.},
     title = {The concentration-compactness principle in the calculus of variations. {The} locally compact case, part 1},
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     pages = {109--145},
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     number = {2},
     year = {1984},
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     url = {http://www.numdam.org/item/AIHPC_1984__1_2_109_0/}
}
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Lions, P. L. The concentration-compactness principle in the calculus of variations. The locally compact case, part 1. Annales de l'I.H.P. Analyse non linéaire, Tome 1 (1984) no. 2, pp. 109-145. http://www.numdam.org/item/AIHPC_1984__1_2_109_0/

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