Existence of T-periodic solutions for a class of lagrangian systems
Rendiconti del Seminario Matematico della Università di Padova, Tome 83 (1990), pp. 19-32. 
@article{RSMUP_1990__83__19_0,
     author = {Mirenghi, Elvira and Tucci, Maria},
     title = {Existence of $T$-periodic solutions for a class of lagrangian systems},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {19--32},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {83},
     year = {1990},
     mrnumber = {1066425},
     zbl = {0709.34034},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1990__83__19_0/}
}
TY  - JOUR
AU  - Mirenghi, Elvira
AU  - Tucci, Maria
TI  - Existence of $T$-periodic solutions for a class of lagrangian systems
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1990
SP  - 19
EP  - 32
VL  - 83
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_1990__83__19_0/
LA  - en
ID  - RSMUP_1990__83__19_0
ER  - 
%0 Journal Article
%A Mirenghi, Elvira
%A Tucci, Maria
%T Existence of $T$-periodic solutions for a class of lagrangian systems
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1990
%P 19-32
%V 83
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_1990__83__19_0/
%G en
%F RSMUP_1990__83__19_0
Mirenghi, Elvira; Tucci, Maria. Existence of $T$-periodic solutions for a class of lagrangian systems. Rendiconti del Seminario Matematico della Università di Padova, Tome 83 (1990), pp. 19-32. http://archive.numdam.org/item/RSMUP_1990__83__19_0/

[1] P. Bartolo - V. BENCI - D. FORTUNATO, Abstract critical point theorems and applications to some nonlinear problems with « strong » resonance at infinity, Nonlinear Analysis T.M.A., 7 (1983), pp. 981-1012. | MR | Zbl

[2] V. Benci, A geometrical index for the group S1 and some applications to the study of periodic solutions of ordinary differential equations, Comm. Pure Appl. Math., 34 (1981), pp. 393-432. | MR | Zbl

[3] V. Benci - A. CAPOZZI - D. FORTUNATO, Periodic solutions of Hamiltonian systems with superquadratic potential, Ann. Mat. Pura e Appl., 143 (1986), pp. 1-46. | MR | Zbl

[4] H. Berestycki, Solutions périodiques de systèmes Hamiltoniens, Sém. Bourbaki, 35e année (1982-83), no. 603. | EuDML | Numdam | MR | Zbl

[5] A. Capozzi - D. Fortunato - A. Salvatore, Periodic solutions of dynamical systems, Meccanica, 20 (1985), pp. 281-284. | MR | Zbl

[6] A. Capozzi - D. Fortunato - A. Salvatore, Periodic solutions of Lagrangian systems with a bounded potential, J. Math. Anal. and Appl., 124, 2 (1987), pp. 482-494. | MR | Zbl

[7] A. Capozzi - D. Lupo - S. Solimini, On the existence of a nontrivial solution to nonlinear problems at resonance, Nonlinear Analysis T.M.A., 13, 2 (1989), pp. 151-163. | MR | Zbl

[8] A. Capozzi - A. Salvatore, Periodic solutions for nonlinear problems with strong resonance at infinity, Comm. Math. Univ. Car., 23, 3 (1982), pp. 415-425. | EuDML | MR | Zbl

[9] V. Coti Zelati, Periodic solutions of Hamiltonian systems and Morse theory, Atti del Convegno « Recent advances in Hamiltonian systems », L'Aquila (1986), pp. 155-161. | MR | Zbl

[10] V. Coti Zelati, Periodic solutions of dynamical systems with bounded potential, J. Diff. Eq., 67, 3 (1987), pp. 400-413. | MR | Zbl

[11] F. Giannone, Periodic solutions of dynamical systems by the saddle point theorem of P. H. Rabinowitz, Nonlinear Analysis T.M.A., 13, 6 (1989), pp. 707-719. | MR | Zbl

[12] P.H. Rabinowitz, Some minimax theorems and applications to nonlinear partial differential equations, Nonlinear Analysis (Cesari, Kannan, Wainberger Editors), Academic Press (1978), pp. 161-177. | MR | Zbl

[13] P.H. Rabinowitz, Periodic solutions of Hamiltonian systems: a survey, SIAM J. Math. Anal., 13 (1982), pp. 343-352. | MR | Zbl

[14] A. Salvatore, Periodic solutions of Hamiltonian systems with a sub-quadratic potential, Boll. Un. Mat. Ital., 3-C (1984), pp. 393-406. | MR | Zbl