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.
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页码：1169 / 1180
页数：12
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