MOUNTAIN PASS THEOREMS AND GLOBAL HOMEOMORPHISM THEOREMS

被引：107
作者：
KATRIEL, G
机构：
[1] Department of Mathematics, University of Haifa, Haifa
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1994年 / 11卷 / 02期
关键词：
MOUNTAIN-PASS THEOREMS; GLOBAL HOMEOMORPHISM THEOREMS;
D O I：
10.1016/S0294-1449(16)30191-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that mountain-pass theorems can be used to derive global homeomorphism theorems. Two new mountain-pass theorems are proved, generalizing the ''smooth'' mountain-pass theorem, one applying in locally compact topological spaces, using Hofer's concept of mountain-pass point, and another applying in complete metric spaces, using a generalized notion of critical point similar to the one introduced by Ioffe and Schwartzman. These are used to prove global homeomorphism theorems for certain topological and metric spaces, generalizing known global homeomorphism theorems for mappings between Banach spaces.
引用
收藏
页码：189 / 209
页数：21
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