Geodesic
Implicit operator theorems under group symmetry conditions
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 1, pp. 31-43
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On the base of the general theorem about the inheritance of nonlinear problem group symmetry by the relevant branching equation and branching equation in the root-subspace $G$-invariant implicit operator theorems are proved for stationary and nonstationary bifurcation problems without assumtion on compactness of allowing group.
Keywords: Lyapounov–Schmidt method, branching equation, branching equation in the root-subspaces, group symmetry. 
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B. V. Loginov; I. V. Konopleva; Y. B. Rousak. Implicit operator theorems under group symmetry conditions. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 1, pp. 31-43. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_1_a3/

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