Saddle-Point and Linking Theorems

  • Maria do Rosário Grossinho
  • Stepan Agop Tersian
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 52)


In this chapter we extend the minimax characterizations of critical points of functionals considering saddle-point theorems. First we present an earlier version of a saddle-point theorem of Von Neumann [Neu] and some generalizations. The goal of this chapter is to present the saddle-point theorem of P. Rabinowitz and some extensions obtained by several authors.


Real Banach Space Critical Point Theory Minimax Theorem Nonlinear Functional Analysis Deformation Type 
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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Maria do Rosário Grossinho
    • 1
    • 2
  • Stepan Agop Tersian
    • 3
  1. 1.ISEGUniversidade Técnica de LisboaPortugal
  2. 2.CMAFUniversidade de LisboaPortugal
  3. 3.University of RousseBulgaria

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