The Krasnoselskii–Rabinowitz Bifurcation Theorem

Robert F. Brown

Chapter Chapter 22 in A Topological Introduction to Nonlinear Analysis, 2014, pp 165-178 from Springer

Abstract: 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.

Keywords: Leray-Schauder Degree; Compact Linear Operator; Frechet Differentiability; Frechet Derivative; Complete Continuity (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-11794-2_22

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