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Bifurcation from Infinity in Hilbert Spaces

  • Vy Khoi Le
  • Klaus Schmitt
Chapter
  • 278 Downloads
Part of the Applied Mathematical Sciences book series (AMS, volume 123)

Abstract

In this chapter, we shall consider the problem of bifurcation from infinity of the variational inequality (3.1),
$$\left\{ \begin{gathered} \left\langle {u - B(u,\;\lambda ),\;\upsilon - u} \right\rangle \underline > \;0,\;\forall \upsilon \in K, \hfill \\ u \in K, \hfill \\ \end{gathered} \right.$$
where K is a closed, convex subset of V (again V is a real Hilbert space with norm ║•║ and inner product < •, •>, as in Chapter 3), i.e., we consider the problem of the existence of solutions of large norms of (3.1) and, as before, global properties of such solution sets.

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Vy Khoi Le
    • 1
  • Klaus Schmitt
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of Missouri-RollaRollaUSA
  2. 2.Department of MathematicsUniversity of UtahSalt Lake CityUSA

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