Antoine, P. Lemme de Morse et calcul des variations. (French) Zbl 0414.58010 Bull. Soc. Math. Fr., Suppl., Mém. 60 (Proc. Colloq., Pau 1977), 25-29 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces Keywords:Morse Lemma for maps between Banach spaces; calculus of variations Citations:Zbl 0011.02802; Zbl 0122.107; Zbl 0191.217; Zbl 0241.58002; Zbl 0256.58004; Zbl 0277.58003; Zbl 0329.49009 PDFBibTeX XMLCite \textit{P. Antoine}, Bull. Soc. Math. Fr., Suppl., Mém. 60, 25--29 (1979; Zbl 0414.58010) Full Text: Numdam EuDML References: [1] P. ANTOINE et F. VAN ISEGHEM : Conditions nécessaires et conditions suffisantes pour un minimum local d’une fonctionnelle . C.R.A.S. 282, pp. 523-526. MR 53 #9292 | Zbl 0329.49009 · Zbl 0329.49009 [2] P. ANTOINE : Conditions pour un minimum local d’une fonction différentiable . Pub. U.E.R. Math. Univ. Lille I n^\circ 97, 1976 . [3] HUI-HSIUNG KUO : The Morse Palais lemma on Banach spaces . Bull. Amer. Soc. 80, 1974 , pp. 363-365. Article | MR 48 #12593 | Zbl 0277.58003 · Zbl 0277.58003 · doi:10.1090/S0002-9904-1974-13507-X [4] M. MORSE : The calculus of variations in the large . Amer. Math. Soc. 1934 . · Zbl 0011.02802 [5] R. PALAIS : Morse theory on Hilbert manifolds . Topology 2, 1963 , pp. 299-340. MR 28 #1633 | Zbl 0122.10702 · Zbl 0122.10702 · doi:10.1016/0040-9383(63)90013-2 [6] R. PALAIS : The Morse lemma for Banach spaces . Bull. Amer. Math. Soc. 75, 1969 , pp. 968-971. Article | MR 40 #6593 | Zbl 0191.21704 · Zbl 0191.21704 · doi:10.1090/S0002-9904-1969-12318-9 [7] A.J.TROMBA : The Morse lemma on arbitrary Banach spaces . Bull. Amer. Math. Soc. 79, 1973 , pp. 85-86. Article | MR 46 #4567 | Zbl 0256.58004 · Zbl 0256.58004 · doi:10.1090/S0002-9904-1973-13104-0 [8] K. UHLENBECK : Morse theory on Banach manifolds . J. Funct. An. 10, 1972 , pp. 430-445. MR 51 #14148 | Zbl 0241.58002 · Zbl 0241.58002 · doi:10.1016/0022-1236(72)90039-0 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.