Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems

P. Majer

Annales de l'I.H.P. Analyse non linéaire (1991)

  • Volume: 8, Issue: 5, page 459-476
  • ISSN: 0294-1449

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Majer, P.. "Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems." Annales de l'I.H.P. Analyse non linéaire 8.5 (1991): 459-476. <http://eudml.org/doc/78261>.

@article{Majer1991,
author = {Majer, P.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Ljusternik-Schnirelman theory; singular dynamic systems; period solutions},
language = {eng},
number = {5},
pages = {459-476},
publisher = {Gauthier-Villars},
title = {Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems},
url = {http://eudml.org/doc/78261},
volume = {8},
year = {1991},
}

TY - JOUR
AU - Majer, P.
TI - Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1991
PB - Gauthier-Villars
VL - 8
IS - 5
SP - 459
EP - 476
LA - eng
KW - Ljusternik-Schnirelman theory; singular dynamic systems; period solutions
UR - http://eudml.org/doc/78261
ER -

References

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  1. [1] A. Ambrosetti and V. Coti Zelati, Critical Points with Lack of Compactness and Singular Dynamical Systems, Ann. Mat. pura appl., (IV), Vol. CIL, 1987, pp. 237-259. Zbl0642.58017MR932787
  2. [2] A. Bahri and P.H. Rabinowitz, A Minimax Method for a Class of Hamiltonian Systems with Singular Potentials, J. Funct. Anal., Vol. 82, 1989, pp. 412-428. Zbl0681.70018MR987301
  3. [3] E. Fadell and S. Husseini, A Note on the Category of Free Loop Space, Proc. Am. Math. Soc., Vol. 107, 1989, pp. 527-536. Zbl0676.58019MR984789
  4. [4] M. Degiovanni and F. Giannoni, Dynamical Systems with Newtonian Type Potentials. Ann. Scu. Nor. Sup.Pisa, Vol. IV, 1988, pp. 467-494. Zbl0692.34050MR1015804
  5. [5] C, Greco, Periodic Solutions of a Class of Singular Hamiltonian Systems, Nonlinear Analysis, T.M.A., Vol. 12, 1988, pp. 259-270. Zbl0648.34048MR928560
  6. [6] W.B. Gordon, Conservative Dynamical System Involving Strong Forces, Trans. A.M.S., Vol. 204, 1975, pp. 113-135. Zbl0276.58005MR377983
  7. [7] R. Palais, Lusternik-Schnirelman Theory on Banach Manifolds, Topology, Vol. 5, 1969, pp. 115-132. Zbl0143.35203MR259955
  8. [8] P.H. Rabinowitz, Minimax Methods in Critical Point Theory with Applications to Differential Equations, C.B.M.S. Reg. Conf. Ser. in Math., Vol. 65, Amer. Math. Soc., Providence, RI, 1986. Zbl0609.58002MR845785

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