Infinite-dimensional version of Morse theory for Lipschitz functionals

被引：1
|
作者：
Klimov, VS [1 ]
机构：
[1] Yaroslavl State Univ, Yaroslavl, Russia
来源：
SBORNIK MATHEMATICS | 2002年 / 193卷 / 5-6期
关键词：
D O I：
10.1070/SM2002v193n06ABEH000662
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The type numbers of critical points of Lipschitz functionals defined on finite-defect submanifolds of a separable reflexive space axe studied. Variants of the Morse inequalities are established. It is shown that the topological index of an isolated critical point is equal to the alternated sum of its type numbers.
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页码：889 / 906
页数：18
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