Degree Calculations — The Hilbert Space Case

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


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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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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