Abstract
We estab lish the existence of periodic solutions of Hamiltonian systems on almost every smooth, compact energy surface in the sense of Lebesgue measure.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
V. Benci, H. Hofer, and P.H. Rabinowitz, “A priori bounds for periodic solutions on hypersurfaces,” in: Periodic solutions of Hamiltonian systems and related topics (eds. Rabinowitz et al.), NATO ASI, Ser. C, Reidel, 1987.
V. Benci and P.H. Rabinowitz,Critical points theorems for indefinite functions, Invent. Math.52 (1979), 241–273.
H. Hofer and E. Zehnder,Periodic solutions on hypersurfaces and a result by C. Viterbo, Invent. Math.90 (1987), 1–9.
P.H. Rabinowitz,On a theorem of Hofer and Zehnder, in: Periodic solutions of Hamiltonian systems and related topics (eds. Rabinowitz et al.) NATO ASI, Ser. C, Reidel, 1987.
M. Struwe, “Variational methods and their aplications to nonlinear partial differential equations and Hamiltonian systems,” Springer. to appear.
C. Viterbo, A proof of the Weinstein conjecture in ℝ2n. Ann. Inst. H. Poincar'e, Analyse Non Linéaire4 (1987), 337–356.
A. Weinstein,On the hypotheses of Rabinowitz' periodic orbit theorem, J. Diff. Eq.33 (1979), 353–358.
Author information
Authors and Affiliations
About this article
Cite this article
Struwe, M. Existence of periodic solutions of Hamiltonian systems on almost every energy surface. Bol. Soc. Bras. Mat 20, 49–58 (1990). https://doi.org/10.1007/BF02585433
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02585433