Multiple critical points for indefinite functionals and applications

被引：7

作者：

Candela, AM

Giannoni, F

Masiello, A

机构：

[1] Dipartimento Matemat, I-70125 Bari, Italy

[2] Univ Aquila, Dipartimento Energet, Fac Ingn, I-67040 Laquila, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 155卷 / 01期

关键词：

D O I：

10.1006/jdeq.1998.3572

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove a multiplicity result for critical points of an indefinite functional on a manifold by using a generalization of the Ljusternik-Schnirelman category. The abstract result is applied to prove the existence of multiple timelike trajectories for Lorentzian manifolds of splitting type. (C) 1999 Academic Press.

引用

页码：203 / 230

页数：28

共 25 条

[1] ON THE EXISTENCE OF INFINITELY MANY GEODESICS ON SPACE-TIME MANIFOLDS [J].