On the local structure of the zero-set of a Banach space valued mapping. (English) Zbl 0321.47042


47J05 Equations involving nonlinear operators (general)
47H99 Nonlinear operators and their properties
58B10 Differentiability questions for infinite-dimensional manifolds
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[1] Crandall, M. G.; Rabinowitz, P. H., Bifurcation from simple eigenvalues, J. Functional Analysis, 8, 321-340 (1971) · Zbl 0219.46015
[2] Dieudonné, J., Foundations of Modern Analysis (1960), Academic Press: Academic Press New York and London · Zbl 0100.04201
[3] Lang, S., Introduction to Differentiable Manifolds (1962), Interscience: Interscience New York · Zbl 0103.15101
[4] Magnus, R. J., The Reduction of a Vector-Valued Function near a Critical Point, Battelle-Geneva Mathematical Report No. 93 (1975)
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