@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://www.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://www.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://www.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://www.numdam.org/item/RSMUP_1990__83__19_0/
[1] 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] 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] 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] Solutions périodiques de systèmes Hamiltoniens, Sém. Bourbaki, 35e année (1982-83), no. 603. | EuDML | Numdam | MR | Zbl
,[5] Periodic solutions of dynamical systems, Meccanica, 20 (1985), pp. 281-284. | MR | Zbl
- - ,[6] Periodic solutions of Lagrangian systems with a bounded potential, J. Math. Anal. and Appl., 124, 2 (1987), pp. 482-494. | MR | Zbl
- - ,[7] 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] Periodic solutions for nonlinear problems with strong resonance at infinity, Comm. Math. Univ. Car., 23, 3 (1982), pp. 415-425. | EuDML | MR | Zbl
- ,[9] 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] Periodic solutions of dynamical systems with bounded potential, J. Diff. Eq., 67, 3 (1987), pp. 400-413. | MR | Zbl
,[11] 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] 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] Periodic solutions of Hamiltonian systems: a survey, SIAM J. Math. Anal., 13 (1982), pp. 343-352. | MR | Zbl
,[14] Periodic solutions of Hamiltonian systems with a sub-quadratic potential, Boll. Un. Mat. Ital., 3-C (1984), pp. 393-406. | MR | Zbl
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