Multiplicity of homoclinic solutions for singular second-order conservative systems

被引：10

作者：

Bertotti, ML ^{[1
]}

Jeanjean, L ^{[1
]}

机构：

[1] UNIV PARIS 12, EQUIPE ANAL & MATH APPL, F-93166 NOISY LE GRAND, FRANCE

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1996年 / 126卷

关键词：

D O I：

10.1017/S0308210500023349

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of second-order systems q = -del V(q) with q(t) is an element of R(n), for which the potential energy V:R(n)\S --> R admits a (possibly unbounded) singular set S subset of R(n) and has a unique absolute maximum at 0 is an element of R(n). Under some conditions on S and V, we prove the existence of several solutions homoclinic to 0.

引用

页码：1169 / 1180

页数：12

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