An Outline of Critical Points

  • Antonio Ambrosetti
  • David Arcoya
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 82)


This chapter deals with variational methods. In addition to the existence of minima of a functional, we discuss the mountain pass theorem, and the linking theorem which are used to find saddle points. A perturbation method, variational in nature, is studied in the last section.


Saddle Point Implicit Function Theorem Smale Condition Morse Index Mountain Pass 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.SISSA-International School for Advanced StudiesTriesteItaly
  2. 2.Departamento de Análisis MatemáticoUniversidad de GranadaGranadaSpain

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