Normal modes of a lagrangian system constrained in a potential well

V. Benci

Annales de l'I.H.P. Analyse non linéaire (1984)

  • Volume: 1, Issue: 5, page 379-400
  • ISSN: 0294-1449

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Benci, V.. "Normal modes of a lagrangian system constrained in a potential well." Annales de l'I.H.P. Analyse non linéaire 1.5 (1984): 379-400. <http://eudml.org/doc/78082>.

@article{Benci1984,
author = {Benci, V.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Lagrangian system; periodic solutions},
language = {eng},
number = {5},
pages = {379-400},
publisher = {Gauthier-Villars},
title = {Normal modes of a lagrangian system constrained in a potential well},
url = {http://eudml.org/doc/78082},
volume = {1},
year = {1984},
}

TY - JOUR
AU - Benci, V.
TI - Normal modes of a lagrangian system constrained in a potential well
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1984
PB - Gauthier-Villars
VL - 1
IS - 5
SP - 379
EP - 400
LA - eng
KW - Lagrangian system; periodic solutions
UR - http://eudml.org/doc/78082
ER -

References

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  1. [BBF] P. Bartolo, V. Benci, D. Fortunato, Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity, Nonlinear Anal. T. M. A., t. 7, 1983, p. 981-1012. Zbl0522.58012MR713209
  2. [B1] V. Benci, Periodic solutions of Lagrangian systems on a compact manifold, to appear on J. Differential Equations. Zbl0605.58034MR848265
  3. [B2] V. Benci, Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural Hamiltonian systems, Ann. Inst. H. Poincaré, t. 1, 1984, p. 401- 412. Zbl0588.35007MR779876
  4. [BCF] V. Benci, A. Capozzi, D. Fortunato, Periodic solutions of Hamiltonian systems of prescribed period, preprint, MRC Technical Summary Report # 2508, 1983. 
  5. [BF] V. Benci, D. Fortunato, Un teorema di molteplicità per un'equazione ellittica non lineare su varietà simmetriche, Proceedings of the Symposium Metodi asintotici e topologici in problemi diff. non lineari, L'Aquila, 1981. 
  6. [B.R.] V. Benci, P.H. Rabinowitz, Critical point theorems for indefinite functionals, Inv. Math., t. 52, 1979, p. 336-352. Zbl0465.49006MR537061
  7. [C] G. Cerami, Un criterio di esistenza per i punti critici su varietà illimitate, Rendiconti dell'Accademia di Sc. e Lettere dell'Istituto Lombardo, t. 112, 1978, p. 332-336. Zbl0436.58006
  8. [G] E.W.C. Van Groesen, Applications of natural constraints in critical point theory to periodic solutions of natural hamiltonian systems, Preprint MRC Technical Summary Report # 2593, 1983. 
  9. [R1] P.H. Rabinowitz, Periodic solutions of Hamiltonian systems a survey, SIAM J. Math. Anal., t. 13, 1982. Zbl0521.58028MR653462
  10. [R2] P.H. Rabinowitz, Periodic solutions of large norm of Hamiltonian systems, J. of Diff. Eq., t. 50, 1983, p. 33-48. Zbl0528.58028MR717867
  11. [R3] P.H. Rabinowitz, The mountain pass theorem: theme and variations, Proceedings of First Latin-American Seminar on Differential Equations, de Figuereido Ed., Springer VerlagLecture Notes. Zbl0493.58007MR679149
  12. [R4] P.H. Rabinowitz, On large norm periodic solutions of some differential equations, in Ergodic Theory and Dynamical Systems, F. A. Katock, ed., Birkhäuser, 1982, p. 193-210. Zbl0504.58018MR670080

Citations in EuDML Documents

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  1. Marino Badiale, Un risultato di molteplicità di soluzioni per problemi ai limiti semilineari
  2. V. Benci, F. Giannoni, Periodic bounce trajectories with a low number of bounce points
  3. Marco Degiovanni, Fabio Giannoni, Dynamical systems with newtonian type potentials
  4. Marco Degiovanni, Fabio Giannoni, Antonio Marino, Dynamical systems with Newtonian type potentials
  5. Marco Degiovanni, Fabio Giannoni, Antonio Marino, Dynamical systems with Newtonian type potentials
  6. V. Benci, Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems
  7. Antonio Ambrosetti, Vittorio Coti Zelati, Solutions with minimal period for hamiltonian systems in a potential well
  8. Vittorio Coti Zelati, Ivar Ekeland, Pierre-Louis Lions, Index estimates and critical points of functionals not satisfying Palais-Smale
  9. V. Benci, D. Fortunato, F. Giannoni, On the existence of geodesics in static Lorentz manifolds with singular boundary

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