References
Viterbo, C.: A Proof of the Weinstein Conjecture in ℝ2n. Preprint, September 1986
Weinstein, A.: On the Hypotheses of Rabinowitz's Periodic Orbit Theorems. J. Differ. Equations33, 353–358 (1979)
Benci, V., Rabinowitz, P.: A priori bounds for periodic solutions of a class of Hamiltonian systems. Ergodic theory and Dynamical systems (to appear)
Benci, V., Rabinowitz, P.: Critical point theorems for indefinite functionals. Invent. Math.52, 241–273 (1979)
Rabinowitz, P.: Periodic solutions of Hamiltonian systems. Commun. Pure Appl. Math.31, 157–184 (1978)
Weinstein, A.: Periodic orbits for convex Hamiltonian systems. Ann. Math.108, 507–518 (1978)
Hofer, H.: On strongly indefinite functionals with applications. Trans. Am. Math. Soc.275, 185–214 (1983)
Spanier, E.H.: Algebraic topology. New York: McGraw Hill 1966
Clarke, F., Ekeland, I.: Hamiltonian trajectories having prescribed minimal period. Commun. Pure Appl. Math.33, 103–116 (1980)
Ekeland, I., Lasry, J.M.: On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface. Ann. Math.112, 283–319 (1980)
Ekeland, I., Hofer, H.: Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems. Invent. Math.81, 155–188 (1985)
Ekeland, I.: Une théorie de Morse pour les systèmes hamiltoniens convexes. Ann. Inst. Henri Poincaré, Analyse non linéaires1 19–78 (1984)
Ekeland, I., Hofer, H.: Convex Hamiltonian energy surfaces and their periodic trajectories. Preprint September 1986
Wilson, T.W.: On the minimal sets of nonsingular vectorfields. Ann. Math.84, 529–536 (1966)
Schweitzer, P.A.: Counterexamples to the Seifert conjecture and opening closed leaves of foliations. Ann. Math.100, 386–400 (1974)
Lima, E.: Orientability of smooth hypersurfaces and the Jordan-Brouwer separation theorem. Expos. Math. (in press) (1987)
Benci, V., Hofer, H., Rabinowitz, P.: A remark on a priori bounds and existence for periodic solutions of Hamiltonian systems. To appear in Proc. NATO conf. Il Ciocco (1986)
Rabinowitz, P.: Minimax methods in critical point theory with applications to differential equations. C.B.M.S. Regional Conf. Ser. in Math. 65 (1986)
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Research partially supported by NSF Grant No DMS-8603149 and by the Stiftung Volkswagenwerk
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Hofer, H., Zehnder, E. Periodic solutions on hypersurfaces and a result by C. Viterbo. Invent Math 90, 1–9 (1987). https://doi.org/10.1007/BF01389030
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DOI: https://doi.org/10.1007/BF01389030