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The Krasnoselskii–Rabinowitz Bifurcation Theorem

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Abstract

In the previous chapter, we used spectral theory to make a computation of Leray–Schauder degree. For this chapter, which presents the main result of the book, we’ll also need the separation theorem from point-set topology that we proved in Chap. 19 However, we first must introduce a hypothesis that permits us to apply the theory of compact linear operators in a more general, nonlinear, setting.

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Brown, R.F. (2014). The Krasnoselskii–Rabinowitz Bifurcation Theorem. In: A Topological Introduction to Nonlinear Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-11794-2_22

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