HOMOCLINIC ORBITS FOR SUPERLINEAR HAMILTONIAN SYSTEMS WITHOUT AMBROSETTI-RABINOWITZ GROWTH CONDITION

被引：15

作者：

Wang, Jun ^{[1
]}

Xu, Junxiang ^{[1
]}

Zhang, Fubao ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 27卷 / 03期

关键词：

Homoclinic orbits; Hamiltonian systems; Linking theorem; Variational methods; CONCENTRATION-COMPACTNESS PRINCIPLE; SCHRODINGER-EQUATION; EXISTENCE; CALCULUS; SYMMETRY;

D O I：

10.3934/dcds.2010.27.1241

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of homoclinic orbits for the first order non-autonomous Hamiltonian system. (z) over dot = J H(z) (t, z), where H (t, z) depends periodically on t. We establish some existence results of the homoclinic orbits for weak superlinear cases. To this purpose, we apply a new linking theorem to provide bounded Palais-Samle sequences.

引用

页码：1241 / 1257

页数：17

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