PERIODIC-SOLUTIONS TO SOME PROBLEMS OF N-BODY TYPE

被引：25

作者：

MAJER, P ^{[1
]}

TERRACINI, S ^{[1
]}

机构：

[1] POLITECN MILAN,DIPARTIMENTO MATEMAT,PIAZZA LEONARDO VINCI 32,MILAN,ITALY

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1993年 / 124卷 / 04期

关键词：

D O I：

10.1007/BF00375608

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of at least one T-periodic solution to a dynamical system of the type [GRAPHICS] where the potentials V(ij) are T-periodic in t and singular at the origin, u(i) is-an-element-of R(k), i = 1, ..., n, and k greater-than-or-equal-to 3. We also provide estimates on the H-1 norm of this solution. The proofs are based on a variant of the Ljusternik-Schnirelman method. The results here generalize to the n-body problem some results obtained by BAHRI & RABINOWITZ on the 3-body problem in [6].

引用

页码：381 / 404

页数：24

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