Lusternik-Schnirelman Theory and Multiple Periodic Solutions with Fixed Energy

  • Jean Mawhin
  • Michel Willem
Part of the Applied Mathematical Sciences book series (AMS, volume 74)

Abstract

When a function has some symmetry properties, one can expect to obtain more precise information on the set of critical points by using, in the minimax approach, correspondingly symmetric sets which are distinguished by a measure of their “size” given by an index theory.

Keywords

Manifold Peri Weinstein 

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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Jean Mawhin
    • 1
  • Michel Willem
    • 1
  1. 1.Institut de Mathematique Pure et AppliqueeLouvain-la-NeuveBelgium

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