Periodic solutions of perturbed superquadratic hamiltonian systems
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 17 (1990) no. 1, pp. 35-77. 
@article{ASNSP_1990_4_17_1_35_0,
     author = {Long, Yiming},
     title = {Periodic solutions of perturbed superquadratic hamiltonian systems},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {35--77},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 17},
     number = {1},
     year = {1990},
     mrnumber = {1074626},
     zbl = {0724.34052},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1990_4_17_1_35_0/}
}
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Long, Yiming. Periodic solutions of perturbed superquadratic hamiltonian systems. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 17 (1990) no. 1, pp. 35-77. http://www.numdam.org/item/ASNSP_1990_4_17_1_35_0/

[1] A. Bahri - H. Berestycki, A perturbation method in critical point theory and applications, Trans. Amer. Math. Soc. 167 (1981), 1-32. | MR | Zbl

[2] A. Bahri - H. Berestycki, Forced vibrations of superquadratic Hamiltonian systems, Acta Math. 152 (1984), 143-197. | MR | Zbl

[3] A. Bahri - H. Berestycki, Existence of forced oscillations for some nonlinear differential equations, Comm. Pure Appl. Math. 37 (1984), 403-442. | MR | Zbl

[4] V. Benci, On critical points theory for indefinite functionals in the presence of symmetries, Trans. Amer. Math. Soc. 274 (1982), 533-572. | MR | Zbl

[5] V. Benci - P.H. Rabinowitz, Critical point theorems for indefinite functionals, Invent. Math. 52 (1979), 241-273. | MR | Zbl

[6] H. Brézis - S. Wainger, A note on limiting cases of Sobolev embeddings and convolution inequalities, Comm. Partial Differential Equations 5(7), (1980), 773-789. | MR | Zbl

[7] J. Dugundji, An extension of Tietze's theorem, Pacific J. Math. 1 (1951), 353-367. | MR | Zbl

[8] E.R. Fadell - S. Husseini - P.H. Rabinowitz, Borsuk-Ulam theorems for arbitrary S1-actions and applications, Trans. Amer. Math. Soc. 174 (1982), 345-360. | MR | Zbl

[9] E.R. Fadell - P.H. Rabinowitz, Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems, Invent. Math. 45 (1978), 139-174. | MR | Zbl

[10] M.A. Krasnosel'Skii - Y.B. Rutitsky, Convex Functions and Orlicz Spaces, Hindustan Publ. Co. (India) Delhi (1962).

[11] Y. Long, On the density of the range for some superquadratic operators, MRC Technical Summary Report 2859, University of Wisconsin-Madison (1985).

[12] Y. Long, Multiple solutions of perturbed superquadratic second order Hamiltonian systems, MRC Technical Summary Report 2963, University of Wisconsin-Madison (1987). Trans. Amer. Math. Soc. 311 (1989), 749-780. | MR | Zbl

[13] Y. Long, Doctoral thesis, University of Wisconsin-Madison, 1987.

[14] I.P. Natanson, Theory of Functions of a Real Variable, Vol. 1. Frederick Ungar Publ. Co. New York (1964). Revised Edition. | MR

[ 15] R. Pisani - M. Tucci, Existence of infinitely many periodic solutions for a perturbed Hamiltonian system, Nonlinear Anal. T.M. & A. 8 (1984), 873-891. | MR | Zbl

[16] P.H. Rabinowitz, Variational methods for nonlinear eigenvalue problems, In Eigenvalues of Nonlinear Problems. Roma (1974). Ediz. Cremonese. | MR

[17] P.H. Rabinowitz, Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math. 31 (1978), 157-184. | MR | Zbl

[18] P.H. Rabinowitz, Multiple critical points of perturbed symmetric functionals, Trans. Amer. Math. Soc. 272 (1982), 753-769. | MR | Zbl

[19] P.H. Rabinowitz, Periodic solutions of large norm of Hamiltonian systems, J. Differential Equations 50 (1983), 33-48. | MR | Zbl