Bifurcation from Infinity in Banach Spaces

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


In this chapter,we develop results for bifurcation from infinity for variational inequalities defined in reflexive Banach spaces and containing nonlinear operators and convex functionals (that are not necessarily indicator functions of convex sets).These theorems generalize a number of results in Chapter 5 for variational inequalities in Hilbert spaces and are parallel to those in Chapter 6 about bifurcation from trivial solutions.General results are presented in Section 7.1.Some applications and examples are considered in Section 7.2.


Banach Space Variational Inequality Simple Eigenvalue Reflexive Banach Space Recession Cone 
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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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