Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems |
| |
| Authors: | Alberto Abbondandolo Juan Molina |
| |
| Institution: | (1) Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy (e-mail: abbo@sns.it), IT;(2) Depto. de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile (e-mail: jmolina@ing-mat.udec.cl), CL |
| |
| Abstract: | We improve Benci and Rabinowitz's Linking theorem for strongly indefinite functionals, giving estimates for a suitably defined
relative Morse index of critical points. Such abstract result is applied to the existence problem of periodic orbits and homoclinic
solutions of first order Hamiltonian systems in cases where the Palais-Smale condition does not hold.
Received January 27, 1999 / Accepted January 14, 2000 / Published online July 20, 2000 |
| |
| Keywords: | Mathematics Subject Classification (1991): Primary 58E05 secondary 34C25 34C37 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
