USA-Chile Workshop on Nonlinear Analysis,
Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 1-11.

An estimate on the relative Morse index for strongly indefinite functionals

A. Abbondandolo, P. Felmer, & J. Molina

We extend the Benci and Rabinowitz linking theorem to strongly indefinite functionals satisfying the Palais-Smale condition. More precisely, we show an upper estimate for a relative Morse index of critical points.

Published January 8, 2001.
Math Subject Classifications: 58E05.
Key Words: Critical point, Morse index.

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Alberto Abbondandolo
Scuola Normale Superiore
Piazza dei Cavalieri 7
56126 Pisa, Italy
Patricio Felmer
Depto. de Ing. Matematica
Universidad de Chile
Casilla 170 Correo 3, Santiago, Chile
Juan Molina
Depto. de Ing. Matematica
Universidad de Concepcion
Casilla 160 - C, Concepcion, Chile

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