Perturbation results for a class of singular Hamiltonian systems

Antonio Ambrosetti; Ivar Ekeland

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1989)

  • Volume: 83, Issue: 1, page 129-132
  • ISSN: 1120-6330

Abstract

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The existence of solutions with prescribed period T for a class of Hamiltonian systems with a Keplerian singularity is discussed.

How to cite

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Ambrosetti, Antonio, and Ekeland, Ivar. "Perturbation results for a class of singular Hamiltonian systems." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 83.1 (1989): 129-132. <http://eudml.org/doc/287436>.

@article{Ambrosetti1989,
abstract = {The existence of solutions with prescribed period $T$ for a class of Hamiltonian systems with a Keplerian singularity is discussed.},
author = {Ambrosetti, Antonio, Ekeland, Ivar},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Hamiltonian systems; Singular nonlinearities; Critical point theory; singular nonlinearities; critical point theory},
language = {eng},
month = {12},
number = {1},
pages = {129-132},
publisher = {Accademia Nazionale dei Lincei},
title = {Perturbation results for a class of singular Hamiltonian systems},
url = {http://eudml.org/doc/287436},
volume = {83},
year = {1989},
}

TY - JOUR
AU - Ambrosetti, Antonio
AU - Ekeland, Ivar
TI - Perturbation results for a class of singular Hamiltonian systems
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1989/12//
PB - Accademia Nazionale dei Lincei
VL - 83
IS - 1
SP - 129
EP - 132
AB - The existence of solutions with prescribed period $T$ for a class of Hamiltonian systems with a Keplerian singularity is discussed.
LA - eng
KW - Hamiltonian systems; Singular nonlinearities; Critical point theory; singular nonlinearities; critical point theory
UR - http://eudml.org/doc/287436
ER -

References

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  1. AMBROSETTI, A. and COTI ZELATI, V., 1987. Critical points with lack of compactness and singular dynamical systems. Ann. Mat. Pura Appl., 149: 237-259. Zbl0642.58017MR932787DOI10.1007/BF01773936
  2. AMBROSETTI, A. and COTI ZELATI, V., 1989. Perturbation of Hamiltonian systems with Keplerian potentials. Math. Zeit., 201: 227-242. Zbl0653.34032MR997224DOI10.1007/BF01160679
  3. AMBROSETTI, A., COTI ZELATI, V. and EKELAND, I., 1987. Symmetry breaking in Hamiltonian systems. Jour. Diff. Equat., 67: 165-184. Zbl0606.58043MR879691DOI10.1016/0022-0396(87)90144-6
  4. AMBROSETTI, A. and EKELAND, I., Nov. 1988. Periodic solutions for a class of Hamiltonian Systems with singularities. Proc. Royal Soc. Edinburgh, to appear. Zbl0708.34031MR1051602DOI10.1017/S0308210500024215
  5. BAHRI, A. and RABINOWITZ, P.H., Oct. 87. A minimax method for a class of Hamiltonian systems with singular potentials. CMS Tech. Summary Report n. 88-8. Zbl0681.70018
  6. DEGIOVANNI, M., GIANNONI, F. and MARINO, A., 1987. Periodic solutions of dynamical systems with Newtonian type potentials. Atti Acc. Naz. Lincei, 81: 271-278. Zbl0667.70010MR999819
  7. GRECO, C., 1988. Periodic solutions of a class of singular Hamiltonian systems. Nonlinear Anal. TMA, 12: 259-270. Zbl0648.34048MR928560DOI10.1016/0362-546X(88)90112-5

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