Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems

被引：0

作者：

Alberto Abbondandolo

Juan Molina

机构：

[1] Scuola Normale Superiore,

[2] Piazza dei Cavalieri 7,undefined

[3] 56126 Pisa,undefined

[4] Italy (e-mail: abbo@sns.it),undefined

[5] Depto. de Ingeniería Matemática,undefined

[6] Universidad de Concepción,undefined

[7] Casilla 160-C,undefined

[8] Concepción,undefined

[9] Chile (e-mail: jmolina@ing-mat.udec.cl),undefined

来源：

Calculus of Variations and Partial Differential Equations | 2000年 / 11卷

关键词：

Mathematics Subject Classification (1991): Primary 58E05; secondary 34C25, 34C37;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：395 / 430

页数：35

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