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Perturbation of zeros in the presence of symmetries

Part of: Variational problems in infinite-dimensional spaces

Published online by Cambridge University Press:  09 April 2009

E. N. Dancer
E. N. Dancer
Affiliation:
Department of Mathematics University of New England Armidale, N.S.W. 2351, Australia
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Abstract

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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.

MSC classification

Secondary: 58E07: Abstract bifurcation theory 57S99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 36 , Issue 1 , February 1984 , pp. 106 - 125
Copyright
Copyright © Australian Mathematical Society 1984

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