Degree for S1-equivariant strongly indefinite functionals

被引：9

作者：

Rybicki, S ^{[1
]}

机构：

[1] Nicholas Copernicus Univ, Fac Math & Informat, PL-87100 Torun, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 43卷 / 08期

关键词：

degree theory; Hamiltonian systems;

D O I：

10.1016/S0362-546X(99)00203-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Many problems concerning differential equations are of variational nature, where their solutions can be considered as critical points of functionals defined on a suitably chosen functional Hilbert space. Functionals that are strongly indefinite and S1-equivariant are considered. In infinite-dimensional case this invariant is defined for S1-equivariant orthogonal operators of the form compact perturbation of identity.

引用

页码：1001 / 1017

页数：17

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