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

页码：985 / 997

页数：13

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