摘要
设X是Banach空间 ,C是X的闭子集。本文利用Ekeland变分原理的推广形式 ,研究X上的局部Lipschitz泛函在C中的临界点的存在性问题 。
Let X be a Banach space, C be a closed subset of X . With the generalization of Ekeland's variational principle , this paper studies the existence of critical points in C of locally Lipschitz functionals defined on X , and obtains a new critical point existence theorem . [
出处
《北京广播学院学报（自然科学版）》
2001年第2期27-33,共7页
Journal of Beijing Broadcasting Institute(Science and Technology)
关键词
局部Lipschitz泛函
Clarke广义梯度
临界点
(P.S.)条件
存在定理
locally Lipschitz functionals , Clarke's generalized gradient , critical points, ( P.S.)' condition1991 MR Subject Classification 58E05 ,49J52, 49J45 Chinese Library Classification O176.3
