EQUIVARIANT CONLEY INDEX VERSUS DEGREE FOR EQUIVARIANT GRADIENT MAPS

被引：17
|
作者：
Golebiewska, Anna [1 ]
Rybicki, Slawomir [1 ]
机构：
[1] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2013年 / 6卷 / 04期
基金：
日本学术振兴会;
关键词：
Equivariant Conley index; equivariant gradient degree; compact Lie group; strongly indefinite operator; CRITICAL ORBITS; HILBERT-SPACES; GLOBAL BIFURCATIONS; PERIODIC-SOLUTIONS; POINTS;
D O I：
10.3934/dcdss.2013.6.985
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we study the relationship between the degree for invariant strongly indefinite functionals and the equivariant Conley index. We prove that, under certain assumptions, a change of the equivariant Conley indices is equivalent to the change of the degrees for equivariant gradient maps. Moreover, we formulate easy to verify sufficient conditions for the existence of a global bifurcation of critical orbits of invariant strongly indefinite functionals.
引用
收藏
页码：985 / 997
页数：13
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