Abstract
In the study of nonminimum critical points, a basic method is the so-called minimax principle. In this chapter we study the connections between Morse theory and a variety of concrete versions of the minimax principle. We point out that the minimax principle for relative homology classes is particularly suitable for Morse theory because certain critical groups for the critical points determined by this minimax principle can be proved being nontrivial; they then have contributions to Morse inequalities.
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© 1993 Springer Science+Business Media New York
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Chang, Kc. (1993). Critical Point Theory. In: Infinite Dimensional Morse Theory and Multiple Solution Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 6. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0385-8_2
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DOI: https://doi.org/10.1007/978-1-4612-0385-8_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6737-9
Online ISBN: 978-1-4612-0385-8
eBook Packages: Springer Book Archive