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Minimax Methods

  • Michael Struwe
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 34)

Abstract

In the preceding chapter we have seen that (weak sequential) lower semi-continuity and (weak sequential) compactness of the sub-level sets of a functional E on a Banach space V suffice to guarantee the existence of a minimizer of E.

Keywords

Periodic Solution Index Theory Relative Minimizer Unbounded Sequence Minimax Principle 
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Notes

  1. Chang, K. C.: Variational methods and sub-and super-solutions. Sci. Sinica Ser. A 26 (1983) 1256–1265MathSciNetMATHGoogle Scholar
  2. Hofer, H.: Variational and topological methods in partially ordered Hilbert spaces. Math. Ann. 261 (1982) 493–514MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Michael Struwe
    • 1
  1. 1.Mathematik, ETH ZürichETH-ZentrumZürichSwitzerland

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