Abstract
In this chapter we are concerned with bifurcation theory. We discuss the local bifurcation from a simple eigenvalue found by analytical methods, the bifurcation from an odd eigenvalue by using the topological degree and the Krasnoselskii result on variational operators. The Rabinowitz global bifurcation theorem is also proved.
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© 2011 Springer Science+Business Media, LLC
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Ambrosetti, A., Arcoya, D. (2011). Bifurcation Theory. In: An Introduction to Nonlinear Functional Analysis and Elliptic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 82. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8114-2_6
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DOI: https://doi.org/10.1007/978-0-8176-8114-2_6
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Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8113-5
Online ISBN: 978-0-8176-8114-2
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