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Degree Calculations — The Hilbert Space Case

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Global Bifurcation in Variational Inequalities

Part of the book series: Applied Mathematical Sciences ((AMS,volume 123))

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Abstract

In this chapter, we consider situations in addition to those in Chapter 3, in which we can calculate the degrees of the operators in the homogenized variational inequalities (3.6). We find conditions that guarantee a change of degree as λ varies. Together with Theorem 3.2, these conditions, then, will imply the existence of global, nontrivial solution continua for (3.1), which bifurcate from the trivial solution.

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© 1997 Springer Science+Business Media New York

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Le, V.K., Schmitt, K. (1997). Degree Calculations — The Hilbert Space Case. In: Global Bifurcation in Variational Inequalities. Applied Mathematical Sciences, vol 123. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1820-3_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1820-3_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7298-4

  • Online ISBN: 978-1-4612-1820-3

  • eBook Packages: Springer Book Archive

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