Lemme de Morse et calcul des variations

P. Antoine

Mémoires de la Société Mathématique de France (1979)

  • Volume: 60, page 25-29
  • ISSN: 0249-633X

How to cite

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Antoine, P.. "Lemme de Morse et calcul des variations." Mémoires de la Société Mathématique de France 60 (1979): 25-29. <http://eudml.org/doc/94801>.

@article{Antoine1979,
author = {Antoine, P.},
journal = {Mémoires de la Société Mathématique de France},
keywords = {Morse Lemma for maps between Banach spaces; calculus of variations},
language = {fre},
pages = {25-29},
publisher = {Société mathématique de France},
title = {Lemme de Morse et calcul des variations},
url = {http://eudml.org/doc/94801},
volume = {60},
year = {1979},
}

TY - JOUR
AU - Antoine, P.
TI - Lemme de Morse et calcul des variations
JO - Mémoires de la Société Mathématique de France
PY - 1979
PB - Société mathématique de France
VL - 60
SP - 25
EP - 29
LA - fre
KW - Morse Lemma for maps between Banach spaces; calculus of variations
UR - http://eudml.org/doc/94801
ER -

References

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  1. [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. Zbl0329.49009MR53 #9292
  2. [2] P. ANTOINE : Conditions pour un minimum local d'une fonction différentiable. Pub. U.E.R. Math. Univ. Lille I n° 97, 1976. Zbl0427.49019
  3. [3] HUI-HSIUNG KUO : The Morse Palais lemma on Banach spaces. Bull. Amer. Soc. 80, 1974, pp. 363-365. Zbl0277.58003MR48 #12593
  4. [4] M. MORSE : The calculus of variations in the large. Amer. Math. Soc. 1934. 
  5. [5] R. PALAIS : Morse theory on Hilbert manifolds. Topology 2, 1963, pp. 299-340. Zbl0122.10702MR28 #1633
  6. [6] R. PALAIS : The Morse lemma for Banach spaces. Bull. Amer. Math. Soc. 75, 1969, pp. 968-971. Zbl0191.21704MR40 #6593
  7. [7] A.J.TROMBA : The Morse lemma on arbitrary Banach spaces. Bull. Amer. Math. Soc. 79, 1973, pp. 85-86. Zbl0256.58004MR46 #4567
  8. [8] K. UHLENBECK : Morse theory on Banach manifolds. J. Funct. An. 10, 1972, pp. 430-445. Zbl0241.58002MR51 #14148

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