Periodic bounce trajectories with a low number of bounce points

V. Benci; F. Giannoni

Annales de l'I.H.P. Analyse non linéaire (1989)

  • Volume: 6, Issue: 1, page 73-93
  • ISSN: 0294-1449

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Benci, V., and Giannoni, F.. "Periodic bounce trajectories with a low number of bounce points." Annales de l'I.H.P. Analyse non linéaire 6.1 (1989): 73-93. <http://eudml.org/doc/78169>.

@article{Benci1989,
author = {Benci, V., Giannoni, F.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {periodic bounce trajectory; Morse index; bounce points},
language = {eng},
number = {1},
pages = {73-93},
publisher = {Gauthier-Villars},
title = {Periodic bounce trajectories with a low number of bounce points},
url = {http://eudml.org/doc/78169},
volume = {6},
year = {1989},
}

TY - JOUR
AU - Benci, V.
AU - Giannoni, F.
TI - Periodic bounce trajectories with a low number of bounce points
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1989
PB - Gauthier-Villars
VL - 6
IS - 1
SP - 73
EP - 93
LA - eng
KW - periodic bounce trajectory; Morse index; bounce points
UR - http://eudml.org/doc/78169
ER -

References

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  1. [1] P. Bartolo, V. Benci and D. Fortunato, Abstract Critical Point Theorems and Application to Some Nonlinear Problems with Strong Resonance at Infinity, Nonlin. Anal. T.M.A., Vol. 7, 1983, pp. 981-1012. Zbl0522.58012MR713209
  2. [2] V. Benci, Normal Modes of a Lagrangian System Constrained in a Potential Well, Ann. Inst. H. Poincaré, Vol. 1, 1984, pp. 379-400. Zbl0561.58006MR779875
  3. [3] V. Benci ,A New Approach to the Morse-Conley Index Theory, Proceed. on "Recent Advances in Hamiltonian Systems", Dell'Antonio and D'Onofrio Ed., World Scientific Publ., 1987. Zbl0665.58007MR902622
  4. [4] V.. Benci, Some Applications of the Generalized Morse-Conley Index, Conf. Sem. Mat. Univ. Bari, Vol. 218, 1987, pp. 1-31. Zbl0656.58006MR898735
  5. [5] V. Benci, A New Approach to the Morse-Conley Index Theory and Some Applications, to appear on Ann. Mat. Pure Appl. Zbl0778.58011
  6. [6] W.. Bos, Kritische Schnen auf Riemannschen Elementarraumstücken, Math. Ann., Vol. 151, 1983, pp. 431-451. Zbl0113.15204MR159297
  7. [7] G. Buttazzo and D. Percivale, Sull'approssimazione del rimbalzo unidimensionale, Ric. Mat., Vol. 30, 1981, pp. 217-231. Zbl0508.73024MR682529
  8. [8] G. Buttazzo and D. Percivale, On the Approximation of the Elastic Bounce Problem on Riemanian Manifolds, Journ. Diff. Eq., 47, 1983, pp. 227-245. Zbl0498.58011MR688104
  9. [9] M. Carriero and E. Pascali, Il problema del rimbalzo unidimensionale e sue penalizzazioni non convesse, Rend. Mat., Vol. 13, 1980, pp. 541-553. Zbl0461.73049MR615514
  10. [10] M. Carriero, A. Leaci and E. Pascali, Convergenza per l'equazione degli integrali primi associati al problema del rimbalzo unidimensionale, Ann. Mat. Pura Appl., Vol. 133, 1983, pp. 227-256. Zbl0545.73014MR725027
  11. [11] M. Degiovanni, Multiplicity of Solutions for the Bounce Problem. Journ. Diff. Eq., Vol. 54, 1984, pp. 414-428. Zbl0505.34006MR760380
  12. [12] F. Giannoni, Periodic Bounce Solutions of Dynamical Conservative Systems and their Minimal Period, to appear on Nonlin. Anal. T.M.A. Zbl0702.34036MR1036212
  13. [13] H. Gluck and W. Ziller, Existence of Peridoic Motions of Conservative Systems, Seminar on Minimal Submanifolds, Bombieri Ed., Princeton University Press, 1983. Zbl0546.58040MR795229
  14. [14] R. Peirone, Bounce Trajectories in Plane Tubolar Domains (to appear). Zbl0741.58021MR1142435
  15. [15] D. Percivale, Uniqueness in Elastic Bounce Problem, Journ. Diff. Eq., Vol. 56, 1985, pp. 206-215. Zbl0521.73006MR774163
  16. [16] L. Penrose and R. Penrose, Puzzles for Christmas, The New Scientist, 1580-81 and 1597, 25 Dec. 1958. 
  17. [17] P.H. Rabinowitz, Minimax Methods in Critical Point Theory with Applications to Differential Equations, Reg. Conf. Ser., Amer. Math. Soc., 65, 1986. Zbl0609.58002MR845785
  18. [18] J. Rauch, Illumination of Bounded Domains, Amer. Math. Month., 85, 1978, pp. 359- 361. Zbl0399.52006MR482537

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