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
收藏
页码：1881 / 1908
页数：28
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