Perturbation of zeros in the presence of symmetries

Journal of the Australian Mathematical Society

E. N. Dancer¹ 

关键词: 58 E 07;    47 H 15;    57 S 99;   

DOI  :  10.1017/S1446788700027361

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We study the existence of zeros of a perturbed nonlinear operator near a zero of the unperturbed operator in the case where both operators are invariant under a symmetry group. To do this, we first correct some work of Rubinsztein on the G-homotopy groups of spheres.

【 授权许可】

Unknown