@article{ASNSP_1990_4_17_4_569_0, author = {Coti Zelati, Vittorio and Ekeland, Ivar and Lions, Pierre-Louis}, title = {Index estimates and critical points of functionals not satisfying {Palais-Smale}}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {569--581}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 17}, number = {4}, year = {1990}, mrnumber = {1093709}, zbl = {0725.58019}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1990_4_17_4_569_0/} }
TY - JOUR AU - Coti Zelati, Vittorio AU - Ekeland, Ivar AU - Lions, Pierre-Louis TI - Index estimates and critical points of functionals not satisfying Palais-Smale JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1990 SP - 569 EP - 581 VL - 17 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1990_4_17_4_569_0/ LA - en ID - ASNSP_1990_4_17_4_569_0 ER -
%0 Journal Article %A Coti Zelati, Vittorio %A Ekeland, Ivar %A Lions, Pierre-Louis %T Index estimates and critical points of functionals not satisfying Palais-Smale %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1990 %P 569-581 %V 17 %N 4 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1990_4_17_4_569_0/ %G en %F ASNSP_1990_4_17_4_569_0
Coti Zelati, Vittorio; Ekeland, Ivar; Lions, Pierre-Louis. Index estimates and critical points of functionals not satisfying Palais-Smale. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 17 (1990) no. 4, pp. 569-581. http://www.numdam.org/item/ASNSP_1990_4_17_4_569_0/
[ACZ] Solutions with minimal period for Hamiltonian systems in a potential well, Ann. IHP Analyse non linéaire 3 (1987), 242-275. | EuDML | Numdam | MR | Zbl
- ,[AM] Solutions of minimal period for a class of convex Hamiltonian systems, Math. Ann. 255 (1981), 405-421. | EuDML | MR | Zbl
- ,[AR] Dual variational methods in critical point theory and applications, J. Funct. Anal. 14 (1973), 349-381. | MR | Zbl
- ,[B] Normal modes of a Lagrangian system constrained in a potential well, Ann. IHP Analyse non linéaire 1 (1984), 379-400. | EuDML | Numdam | MR | Zbl
,[C1] A classical variational principle for periodic Hamiltonian trajectories, Proceedings A.M.S. 76 (1979), 186-189. | MR | Zbl
,[C2] Periodic solutions of Hamiltonian inclusions, J. Differential Equations 40 (1981), 1-6. | MR | Zbl
,[CE] Hamiltonian trajectories having prescribed minimal period, Comm. Pure Appl. Math. 33 (1980), 103-116. | MR | Zbl
- ,[E1] Periodic solutions of Hamiltonian systems and a theorem of P. Rabinowitz, J. Differential Equations 34 (1979), 523-534. | MR | Zbl
,[E2] An index theory for periodic solutions of convex Hamiltonian systems, Procedings of Symposia in Pure Mathematics 45 (1986), 395-423. | MR | Zbl
,[EH] Periodic solutions with prescribed period for convex autonomous Hamiltonian systems, Inventiones Math. 81 (1985), 2155-2188. | Zbl
- ,[GM1] Some results on solutions of minimal period to superquadratic Hamiltonian equations, Nonlinear Analysis TMA 7 (1983), 475-482. | Zbl
- ,[GM2] Solutions of minimal period for a class of non-convex Hamiltonian systems and applications to the fixed energy problem, Nonlinear Analysis TMA 10 (1986), 371-382. | Zbl
- ,[H1] A geometric description of the neighbourhood of a critical point given by the mountain pass theorem, J. London Math. Soc. 31 (1985), 566-570. | Zbl
,[L] Solutions of Hartree-Fock equations for Coulomb systems, Comm. Math. Phys. 103 (1987), 33-97. | Zbl
,[R1] Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math. 31 (1978), 157-184. | Zbl
,[R2] Periodic solutions of large norm of Hamiltonian systems, J. Differential Equations 50 (1983), 33-48. | Zbl
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