Periodic solutions of an infinite dimensional Hamiltonian system

被引：13

作者：

Ding, YH ^{[1
]}

Lee, C

机构：

[1] Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China

[2] Natl Changhua Univ Educ, Dept Math, Changhua, Taiwan

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2005年 / 35卷 / 06期

基金：

中国国家自然科学基金;

关键词：

infinite-dimensional Hamiltonian system; periodic solutions; variational method;

D O I：

10.1216/rmjm/1181069621

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish existence and multiplicity of periodic solutions to the infinite dimensional Hamiltonian system GRAPHICS where Omega subset of R-N is a bounded domain or Omega = RN. When Omega is bounded, we treat the situations where H(t, x, z) is, with respect to z = (u, v), sub- or superquadratic, or concave and convex, and discuss also the convergence to homoclinics of sequences of subharmonic orbits. If Omega = R-N, we handle the case of superquadratic nonlinearities.

引用

页码：1881 / 1908

页数：28

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