Non-collision periodic solutions of prescribed energy problem for a class of singular Hamiltonian systems

被引：11

作者：

Adachi, S ^{[1
]}

机构：

[1] Shizuoka Univ, Fac Engn, Div Appl Sci, Shizuoka 4328561, Japan

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2005年 / 25卷 / 02期

关键词：

singular Hamiltonian system; periodic solution; minimax theory;

D O I：

10.12775/TMNA.2005.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of non-collision periodic solutions with prescribed energy for the following singular Hamiltonian systems: {(q) double overdot +del V(q)=0 {1/2 vertical bar(q) over dot vertical bar(2) + V(q)=H In particular for the potential V(q) similar to -1/dist (q, D)(alpha), where the singular set D is a non-empty compact subset of R-N, we prove the existence of a non-collision periodic solution for all H > 0 and alpha is an element of (0,2).

引用

页码：275 / 296

页数：22

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