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

共 50 条

[21] Homoclinic Orbits for First Order Hamiltonian Systems with Some Twist Conditions
Yuan SHAN
Acta Mathematica Sinica,English Series, 2015, (11) : 1725 - 1738
[22] Spectral flow and bifurcation of critical points of strongly indefinite functionals part II. Bifurcation of periodic orbits of hamiltonian systems
Fitzpatrick, PM
Pejsachowicz, J
Recht, L
JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 163 (01) : 18 - 40
[23] Nontrivial homoclinic orbits for second-order singular and periodic Hamiltonian systems
LI Chengyue
Department of Mathematics
Computer Center
ChineseScienceBulletin, 1999, (02) : 123 - 129
[24] Nontrivial homoclinic orbits for second-order singular and periodic Hamiltonian systems
Li, CY
Fan, TY
Tong, MS
CHINESE SCIENCE BULLETIN, 1999, 44 (02): : 123 - 129
[25] Periodic Orbits and Homoclinic Orbits of Second-order Hamiltonian Systems with Mild Superquadratic Growth
Zhang, Xiaofei
Liu, Chungen
Zhou, Benxing
FRONTIERS OF MATHEMATICS, 2025,
[26] HOMOCLINIC ORBITS FOR A CLASS OF DISCRETE PERIODIC HAMILTONIAN SYSTEMS
Zhang, Qinqin
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (07) : 3155 - 3163
[27] Homoclinic Solutions for Fractional Hamiltonian Systems with Indefinite Conditions
Zhang, Ziheng
Torres Ledesma, Cesar E.
Yuan, Rong
FILOMAT, 2018, 32 (07) : 2403 - 2419
[28] Homoclinic solutions for second-order Hamiltonian systems with periodic potential
Ye, Yiwei
BOUNDARY VALUE PROBLEMS, 2018,
[29] Homoclinic solutions for second-order Hamiltonian systems with periodic potential
Yiwei Ye
Boundary Value Problems, 2018
[30] THE EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF FIRST-ORDER SUPERQUADRATIC HAMILTONIAN SYSTEMS
Guo, Chengjun
Agarwal, Ravi P.
Wang, Chengjiang
O'Regan, Donal
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2014, 61 : 83 - 102

← 1 2 3 4 5 →